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57306253333540 = 22541475623264437
BaseRepresentation
bin11010000011110101001101…
…10111111001010000100100
321111220102110022210112020011
431001322212313321100210
530002401201323133130
6321514043534420004
715033145244160061
oct1501724667712044
9244812408715204
1057306253333540
111729449a043782
126516404361604
1325c8c58584a63
1410218cd297c68
15695a019e752a
hex341ea6df9424

57306253333540 has 96 divisors (see below), whose sum is σ = 125924140145664. Its totient is φ = 21883623306240.

The previous prime is 57306253333471. The next prime is 57306253333619. The reversal of 57306253333540 is 4533335260375.

57306253333540 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 2×573062533335402 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 216578202 + ... + 216842638.

It is an arithmetic number, because the mean of its divisors is an integer number (1311709793184).

Almost surely, 257306253333540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57306253333540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62962070072832).

57306253333540 is an abundant number, since it is smaller than the sum of its proper divisors (68617886812124).

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

57306253333540 is a wasteful number, since it uses less digits than its factorization.

57306253333540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270157 (or 270155 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 49.

The spelling of 57306253333540 in words is "fifty-seven trillion, three hundred six billion, two hundred fifty-three million, three hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 820 940 1927 3854 5623 7708 9635 11246 19270 22492 28115 38540 56230 112460 230543 264281 264437 461086 528562 528874 922172 1057124 1057748 1152715 1321405 1322185 2305430 2642810 2644370 4610860 5285620 5288740 10835521 10841917 12428539 21671042 21683834 24857078 43342084 43367668 49714156 54177605 54209585 62142695 108355210 108419170 124285390 216710420 216838340 248570780 509570099 1019140198 1486929251 2038280396 2547850495 2973858502 5095700990 5947717004 7434646255 10191401980 14869292510 29738585020 60964099291 69885674797 121928198582 139771349594 243856397164 279542699188 304820496455 349428373985 609640992910 698856747970 1219281985820 1397713495940 2865312666677 5730625333354 11461250666708 14326563333385 28653126666770 57306253333540