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3996010368 = 2733733371
BaseRepresentation
bin1110111000101110…
…0100011110000000
3101022111012100201000
43232023210132000
531140434312433
61500304212000
7201011346000
oct35613443600
911274170630
103996010368
111770709809
1293630a000
134b8b5579c
1429c9d6000
15185c38113
hexee2e4780

3996010368 has 256 divisors, whose sum is σ = 13757760000. Its totient is φ = 1141378560.

The previous prime is 3996010321. The next prime is 3996010373. The reversal of 3996010368 is 8630106993.

3996010368 is a `hidden beast` number, since 3 + 9 + 9 + 601 + 0 + 36 + 8 = 666.

It is a super-2 number, since 2×39960103682 = 31936197722326990848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183723 + ... + 1187093.

It is an arithmetic number, because the mean of its divisors is an integer number (53741250).

Almost surely, 23996010368 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 3996010368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878880000).

3996010368 is an abundant number, since it is smaller than the sum of its proper divisors (9761749632).

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

3996010368 is an equidigital number, since it uses as much as digits as its factorization.

3996010368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3996010368 is about 63214.0045243141. The cubic root of 3996010368 is about 1586.8731142367.

The spelling of 3996010368 in words is "three billion, nine hundred ninety-six million, ten thousand, three hundred sixty-eight".