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54593969490 = 23351731383681
BaseRepresentation
bin110010110110000011…
…011101110101010010
312012220202012000001000
4302312003131311102
51343302024010430
641025150122430
73641614040544
oct626603356522
9165822160030
1054593969490
1121175966355
12a6b74b0416
1351c0758178
1428dc8db694
151647d45e60
hexcb60ddd52

54593969490 has 128 divisors (see below), whose sum is σ = 159120599040. Its totient is φ = 13259980800.

The previous prime is 54593969477. The next prime is 54593969519. The reversal of 54593969490 is 9496939545.

54593969490 is a `hidden beast` number, since 5 + 4 + 59 + 3 + 96 + 9 + 490 = 666.

It is a super-3 number, since 3×545939694903 (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49551 + ... + 334130.

It is an arithmetic number, because the mean of its divisors is an integer number (1243129680).

Almost surely, 254593969490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54593969490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79560299520).

54593969490 is an abundant number, since it is smaller than the sum of its proper divisors (104526629550).

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

54593969490 is a wasteful number, since it uses less digits than its factorization.

54593969490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383745 (or 383739 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 54593969490 in words is "fifty-four billion, five hundred ninety-three million, nine hundred sixty-nine thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 85 90 93 102 135 153 155 170 186 255 270 279 306 310 459 465 510 527 558 765 837 918 930 1054 1395 1530 1581 1674 2295 2635 2790 3162 4185 4590 4743 5270 7905 8370 9486 14229 15810 23715 28458 47430 71145 142290 383681 767362 1151043 1918405 2302086 3453129 3836810 5755215 6522577 6906258 10359387 11510430 11894111 13045154 17265645 19567731 20718774 23788222 32612885 34531290 35682333 39135462 51796935 58703193 59470555 65225770 71364666 97838655 103593870 107046999 117406386 118941110 176109579 178411665 195677310 202199887 214093998 293515965 321140997 352219158 356823330 404399774 535234995 587031930 606599661 642281994 880547895 1010999435 1070469990 1213199322 1605704985 1761095790 1819798983 2021998870 3032998305 3211409970 3639597966 5459396949 6065996610 9098994915 10918793898 18197989830 27296984745 54593969490