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55612890746496 = 2732293164761361
BaseRepresentation
bin11001010010100011000101…
…00110010000111010000000
321021220112120222100012212200
430221101202212100322000
524242130200012341441
6314140113113353200
714466620163523506
oct1451214246207200
9237815528305780
1055612890746496
11167a1327001846
1262a2198708800
132505371cb2a95
14da396d280676
15666943c6e7b6
hex329462990e80

55612890746496 has 96 divisors (see below), whose sum is σ = 160578071018820. Its totient is φ = 18474361774080.

The previous prime is 55612890746477. The next prime is 55612890746549. The reversal of 55612890746496 is 69464709821655.

55612890746496 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 2 + 8 + 90 + 7 + 46 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48858422414400 + 6754468332096 = 6989880^2 + 2598936^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 11 ways as a sum of consecutive naturals, for example, 82043145 + ... + 82718216.

Almost surely, 255612890746496 is an apocalyptic number.

It is an amenable number.

55612890746496 is an abundant number, since it is smaller than the sum of its proper divisors (104965180272324).

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

55612890746496 is a wasteful number, since it uses less digits than its factorization.

55612890746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164761674 (or 164761659 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 55612890746496 in words is "fifty-five trillion, six hundred twelve billion, eight hundred ninety million, seven hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 293 384 576 586 879 1152 1172 1758 2344 2637 3516 4688 5274 7032 9376 10548 14064 18752 21096 28128 37504 42192 56256 84384 112512 168768 337536 164761361 329522722 494284083 659045444 988568166 1318090888 1482852249 1977136332 2636181776 2965704498 3954272664 5272363552 5931408996 7908545328 10544727104 11862817992 15817090656 21089454208 23725635984 31634181312 47451271968 48275078773 63268362624 94902543936 96550157546 144825236319 189805087872 193100315092 289650472638 386200630184 434475708957 579300945276 772401260368 868951417914 1158601890552 1544802520736 1737902835828 2317203781104 3089605041472 3475805671656 4634407562208 6179210082944 6951611343312 9268815124416 13903222686624 18537630248832 27806445373248 55612890746496