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5763660864 = 263133174489
BaseRepresentation
bin1010101111000101…
…00111110001000000
3112212200100022022220
411113202213301000
543300444121424
62351531131040
7262554210663
oct52742476100
915780308286
105763660864
112498488795
12114a2a3a80
1370b12a320
143c968b6da
1523b001579
hex1578a7c40

5763660864 has 112 divisors (see below), whose sum is σ = 16952732160. Its totient is φ = 1716203520.

The previous prime is 5763660839. The next prime is 5763660871. The reversal of 5763660864 is 4680663675.

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, 40132 + ... + 114620.

It is an arithmetic number, because the mean of its divisors is an integer number (151363680).

Almost surely, 25763660864 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 5763660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476366080).

5763660864 is an abundant number, since it is smaller than the sum of its proper divisors (11189071296).

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

5763660864 is a wasteful number, since it uses less digits than its factorization.

5763660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74548 (or 74538 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The square root of 5763660864 is about 75918.7780723584. The cubic root of 5763660864 is about 1792.9415823930.

The spelling of 5763660864 in words is "five billion, seven hundred sixty-three million, six hundred sixty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6448 9672 12896 19344 25792 38688 74489 77376 148978 223467 297956 446934 595912 893868 968357 1191824 1787736 1936714 2309159 2383648 2905071 3575472 3873428 4618318 4767296 5810142 6927477 7150944 7746856 9236636 11620284 13854954 14301888 15493712 18473272 23240568 27709908 30019067 30987424 36946544 46481136 55419816 60038134 61974848 73893088 90057201 92962272 110839632 120076268 147786176 180114402 185924544 221679264 240152536 360228804 443358528 480305072 720457608 960610144 1440915216 1921220288 2881830432 5763660864