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3313956864 = 21135310177
BaseRepresentation
bin1100010110000110…
…1111100000000000
322112221210110012010
43011201233200000
523241333104424
61304501332520
7145060111551
oct30541574000
98487713163
103313956864
111450707929
12785a07140
1340a75ac2a
142361b0328
15145e0d229
hexc586f800

3313956864 has 96 divisors (see below), whose sum is σ = 9002644560. Its totient is φ = 1083703296.

The previous prime is 3313956857. The next prime is 3313956913. The reversal of 3313956864 is 4686593133.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320544 + ... + 330720.

Almost surely, 23313956864 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 3313956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501322280).

3313956864 is an abundant number, since it is smaller than the sum of its proper divisors (5688687696).

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

3313956864 is a wasteful number, since it uses less digits than its factorization.

3313956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10235 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 48.

The square root of 3313956864 is about 57566.9772004749. The cubic root of 3313956864 is about 1490.9014955069.

The spelling of 3313956864 in words is "three billion, three hundred thirteen million, nine hundred fifty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 5088 6144 6784 10176 10177 13568 20352 20354 27136 30531 40704 40708 54272 61062 81408 81416 108544 122124 162816 162832 244248 325632 325664 488496 539381 651328 976992 1078762 1302656 1618143 1953984 2157524 2605312 3236286 3907968 4315048 5210624 6472572 7815936 8630096 10421248 12945144 15631872 17260192 20842496 25890288 31263744 34520384 51780576 62527488 69040768 103561152 138081536 207122304 276163072 414244608 552326144 828489216 1104652288 1656978432 3313956864