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55437644304 = 24327228032
BaseRepresentation
bin110011101000010101…
…110101001000010000
312022002112201010022100
4303220111311020100
51402014014104204
641245005040400
74001540126100
oct635025651020
9168075633270
1055437644304
1121569117769
12a8b1b56100
1352c6490433
14297c995200
151696e48a39
hexce8575210

55437644304 has 135 divisors (see below), whose sum is σ = 180543170223. Its totient is φ = 15833676096.

The previous prime is 55437644291. The next prime is 55437644321. The reversal of 55437644304 is 40344673455.

The square root of 55437644304 is 235452.

It is a perfect power (a square), and thus also a powerful number.

55437644304 is a `hidden beast` number, since 5 + 543 + 7 + 64 + 43 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55437644304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19776567 + ... + 19779369.

Almost surely, 255437644304 is an apocalyptic number.

55437644304 is the 235452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55437644304

55437644304 is an abundant number, since it is smaller than the sum of its proper divisors (125105525919).

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

55437644304 is an equidigital number, since it uses as much as digits as its factorization.

55437644304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 55437644304 in words is "fifty-five billion, four hundred thirty-seven million, six hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 2803 3528 5606 7056 8409 11212 16818 19621 22424 25227 33636 39242 44848 50454 58863 67272 78484 100908 117726 134544 137347 156968 176589 201816 235452 274694 313936 353178 403632 412041 470904 549388 706356 824082 941808 1098776 1236123 1412712 1648164 2197552 2472246 2825424 3296328 4944492 6592656 7856809 9888984 15713618 19777968 23570427 31427236 47140854 54997663 62854472 70711281 94281708 109995326 125708944 141422562 164992989 188563416 219990652 282845124 329985978 377126832 384983641 439981304 494978967 565690248 659971956 769967282 879962608 989957934 1131380496 1154950923 1319943912 1539934564 1979915868 2309901846 2639887824 3079869128 3464852769 3959831736 4619803692 6159738256 6929705538 7919663472 9239607384 13859411076 18479214768 27718822152 55437644304