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5752519968 = 253137164921
BaseRepresentation
bin1010101101110000…
…00111110100100000
3112211220101021220010
411112320013310200
543240121114333
62350452244520
7262360420146
oct52670076440
915756337803
105752519968
112492169438
121146610740
13708a29390
143c7dcb596
1523a050563
hex156e07d20

5752519968 has 96 divisors (see below), whose sum is σ = 16491226752. Its totient is φ = 1745049600.

The previous prime is 5752519951. The next prime is 5752520023. The reversal of 5752519968 is 8699152575.

It is a happy number.

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

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, 56148 + ... + 121068.

It is an arithmetic number, because the mean of its divisors is an integer number (171783612).

Almost surely, 25752519968 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 5752519968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8245613376).

5752519968 is an abundant number, since it is smaller than the sum of its proper divisors (10738706784).

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

5752519968 is a wasteful number, since it uses less digits than its factorization.

5752519968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65018 (or 65010 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 57.

The square root of 5752519968 is about 75845.3687973102. The cubic root of 5752519968 is about 1791.7856122405.

The spelling of 5752519968 in words is "five billion, seven hundred fifty-two million, five hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 7384 11076 14768 22152 29536 44304 64921 88608 129842 194763 259684 389526 519368 779052 843973 1038736 1558104 1687946 2077472 2531919 3116208 3375892 4609391 5063838 6232416 6751784 9218782 10127676 13503568 13828173 18437564 20255352 27007136 27656346 36875128 40510704 55312692 59922083 73750256 81021408 110625384 119844166 147500512 179766249 221250768 239688332 359532498 442501536 479376664 719064996 958753328 1438129992 1917506656 2876259984 5752519968