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5746960423296 = 27331797817273
BaseRepresentation
bin101001110100001000110…
…0010001101100110000000
3202100101220112221012102000
41103220101202031212000
51223124233332021141
620120041150424000
71132130015412561
oct123502142154600
922311815835360
105746960423296
1119162aa377244
12789971502000
13328c22640711
1415c223832168
159e7593ad5b6
hex53a1188d980

5746960423296 has 128 divisors (see below), whose sum is σ = 17959251506400. Its totient is φ = 1802967957504.

The previous prime is 5746960423229. The next prime is 5746960423301. The reversal of 5746960423296 is 6923240696475.

5746960423296 is a `hidden beast` number, since 5 + 7 + 4 + 69 + 60 + 423 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48849885 + ... + 48967388.

Almost surely, 25746960423296 is an apocalyptic number.

It is an amenable number.

5746960423296 is an abundant number, since it is smaller than the sum of its proper divisors (12212291083104).

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

5746960423296 is a wasteful number, since it uses less digits than its factorization.

5746960423296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97817313 (or 97817295 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

It can be divided in two parts, 5746960 and 423296, that added together give a square (6170256 = 24842).

The spelling of 5746960423296 in words is "five trillion, seven hundred forty-six billion, nine hundred sixty million, four hundred twenty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 29376 58752 97817273 195634546 293451819 391269092 586903638 782538184 880355457 1173807276 1565076368 1662893641 1760710914 2347614552 2641066371 3130152736 3325787282 3521421828 4695229104 4988680923 5282132742 6260305472 6651574564 7042843656 9390458208 9977361846 10564265484 12520610944 13303149128 14085687312 14966042769 18780916416 19954723692 21128530968 26606298256 28171374624 29932085538 37561832832 39909447384 42257061936 44898128307 53212596512 56342749248 59864171076 79818894768 84514123872 89796256614 106425193024 112685498496 119728342152 159637789536 169028247744 179592513228 212850386048 239456684304 319275579072 338056495488 359185026456 478913368608 638551158144 718370052912 957826737216 1436740105824 1915653474432 2873480211648 5746960423296