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5764063008 = 2531110950077
BaseRepresentation
bin1010101111001000…
…01001111100100000
3112212201002201222010
411113210021330200
543301100004013
62351543512520
7262560504264
oct52744117440
915781081863
105764063008
112498732940
12114a458740
1370b23b392
143c97540a4
1523b0807c3
hex157909f20

5764063008 has 96 divisors (see below), whose sum is σ = 16657945920. Its totient is φ = 1730626560.

The previous prime is 5764063007. The next prime is 5764063009. The reversal of 5764063008 is 8003604675.

It is an interprime number because it is at equal distance from previous prime (5764063007) and next prime (5764063009).

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

It is not an unprimeable number, because it can be changed into a prime (5764063001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90066 + ... + 140142.

It is an arithmetic number, because the mean of its divisors is an integer number (173520270).

Almost surely, 25764063008 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 5764063008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328972960).

5764063008 is an abundant number, since it is smaller than the sum of its proper divisors (10893882912).

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

5764063008 is a wasteful number, since it uses less digits than its factorization.

5764063008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50210 (or 50202 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5764063008 is about 75921.4265408653. The cubic root of 5764063008 is about 1792.9832806555.

The spelling of 5764063008 in words is "five billion, seven hundred sixty-four million, sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 109 132 176 218 264 327 352 436 528 654 872 1056 1199 1308 1744 2398 2616 3488 3597 4796 5232 7194 9592 10464 14388 19184 28776 38368 50077 57552 100154 115104 150231 200308 300462 400616 550847 600924 801232 1101694 1201848 1602464 1652541 2203388 2403696 3305082 4406776 4807392 5458393 6610164 8813552 10916786 13220328 16375179 17627104 21833572 26440656 32750358 43667144 52881312 60042323 65500716 87334288 120084646 131001432 174668576 180126969 240169292 262002864 360253938 480338584 524005728 720507876 960677168 1441015752 1921354336 2882031504 5764063008