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55097931456 = 263426939511
BaseRepresentation
bin110011010100000101…
…111011011011000000
312021012212110220220000
4303110011323123000
51400320032301311
641151151520000
73660243455451
oct632405733300
9167185426800
1055097931456
1121404389447
12a818229000
135270c99709
142949805128
1516771e3056
hexcd417b6c0

55097931456 has 140 divisors (see below), whose sum is σ = 163938844080. Its totient is φ = 18297239040.

The previous prime is 55097931443. The next prime is 55097931461. The reversal of 55097931456 is 65413979055.

55097931456 is a `hidden beast` number, since 5 + 509 + 7 + 93 + 1 + 45 + 6 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1374741 + ... + 1414251.

Almost surely, 255097931456 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 55097931456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81969422040).

55097931456 is an abundant number, since it is smaller than the sum of its proper divisors (108840912624).

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

55097931456 is a wasteful number, since it uses less digits than its factorization.

55097931456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39804 (or 39785 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 55097931456 in words is "fifty-five billion, ninety-seven million, nine hundred thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 269 288 324 432 538 576 648 807 864 1076 1296 1614 1728 2152 2421 2592 3228 4304 4842 5184 6456 7263 8608 9684 12912 14526 17216 19368 21789 25824 29052 38736 39511 43578 51648 58104 77472 79022 87156 116208 118533 154944 158044 174312 232416 237066 316088 348624 355599 464832 474132 632176 697248 711198 948264 1066797 1264352 1394496 1422396 1896528 2133594 2528704 2844792 3200391 3793056 4267188 5689584 6400782 7586112 8534376 10628459 11379168 12801564 17068752 21256918 22758336 25603128 31885377 34137504 42513836 51206256 63770754 68275008 85027672 95656131 102412512 127541508 170055344 191312262 204825024 255083016 286968393 340110688 382624524 510166032 573936786 680221376 765249048 860905179 1020332064 1147873572 1530498096 1721810358 2040664128 2295747144 3060996192 3443620716 4591494288 6121992384 6887241432 9182988576 13774482864 18365977152 27548965728 55097931456