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16312302864 = 2432111319173241
BaseRepresentation
bin11110011000100100…
…11111110100010000
31120002211110211210100
433030102133310100
5231401422142424
611254353132400
71115143200204
oct171422376420
946084424710
1016312302864
116a10962640
1231b2b5a100
1316cc6a0b20
14b0a628b04
15657134dc9
hex3cc49fd10

16312302864 has 480 divisors, whose sum is σ = 57017600640. Its totient is φ = 4279910400.

The previous prime is 16312302863. The next prime is 16312302899. The reversal of 16312302864 is 46820321361.

16312302864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16312302863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67685784 + ... + 67686024.

It is an arithmetic number, because the mean of its divisors is an integer number (118786668).

Almost surely, 216312302864 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 16312302864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28508800320).

16312302864 is an abundant number, since it is smaller than the sum of its proper divisors (40705297776).

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

16312302864 is a wasteful number, since it uses less digits than its factorization.

16312302864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 16312302864 in words is "sixteen billion, three hundred twelve million, three hundred two thousand, eight hundred sixty-four".