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57406413662730 = 23451115959403717
BaseRepresentation
bin11010000110101111110001…
…11001001110101000001010
321112020222222200010102210000
431003113320321032220022
530011021313344201410
6322032050430103430
715043322306005446
oct1503277071165012
9245228880112700
1057406413662730
1117322a17a26540
1265318b794ab76
13260552b36ba32
1410266b1731826
15698414d51dc0
hex3435f8e4ea0a

57406413662730 has 160 divisors (see below), whose sum is σ = 168403115422080. Its totient is φ = 13915799844480.

The previous prime is 57406413662729. The next prime is 57406413662747. The reversal of 57406413662730 is 3726631460475.

57406413662730 is a `hidden beast` number, since 5 + 7 + 4 + 0 + 6 + 4 + 1 + 3 + 6 + 627 + 3 + 0 = 666.

57406413662730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×574064136627302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141992832 + ... + 142396548.

It is an arithmetic number, because the mean of its divisors is an integer number (1052519471388).

Almost surely, 257406413662730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57406413662730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84201557711040).

57406413662730 is an abundant number, since it is smaller than the sum of its proper divisors (110996701759350).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57406413662730 is a wasteful number, since it uses less digits than its factorization.

57406413662730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419706 (or 419697 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 57406413662730 in words is "fifty-seven trillion, four hundred six billion, four hundred thirteen million, six hundred sixty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 15959 31918 47877 79795 95754 143631 159590 175549 239385 287262 351098 403717 430893 478770 526647 718155 807434 861786 877745 1053294 1211151 1292679 1436310 1579941 1755490 2018585 2154465 2422302 2585358 2633235 3159882 3633453 4037170 4308930 4440887 4739823 5266470 6055755 6463395 7266906 7899705 8881774 9479646 10900359 12111510 12926790 13322661 14219469 15799410 18167265 21800718 22204435 23699115 26645322 28438938 32701077 36334530 39967983 44408870 47398230 54501795 65402154 66613305 71097345 79935966 109003590 119903949 133226610 142194690 163505385 199839915 239807898 327010770 359711847 399679830 599519745 719423694 1199039490 1798559235 3597118470 6442919603 12885839206 19328758809 32214598015 38657517618 57986276427 64429196030 70872115633 96643794045 115972552854 141744231266 173958829281 193287588090 212616346899 289931382135 347917658562 354360578165 425232693798 521876487843 579862764270 637849040697 708721156330 869794146405 1043752975686 1063081734495 1275698081394 1739588292810 1913547122091 2126163468990 2609382439215 3189245203485 3827094244182 5218764878430 5740641366273 6378490406970 9567735610455 11481282732546 19135471220910 28703206831365 57406413662730