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16021131264 = 21234431123
BaseRepresentation
bin11101110101110111…
…10001000000000000
31112100112120210110000
432322323301000000
5230302402200024
611205432240000
71105006240335
oct167273610000
945315523400
1016021131264
116881569056
123131540000
131684274538
14abdab298c
1563b7bbcc9
hex3baef1000

16021131264 has 260 divisors, whose sum is σ = 49016385616. Its totient is φ = 5211537408.

The previous prime is 16021131241. The next prime is 16021131271. The reversal of 16021131264 is 46213112061.

It is a happy number.

16021131264 is a `hidden beast` number, since 1 + 602 + 1 + 1 + 31 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14265807 + ... + 14266929.

Almost surely, 216021131264 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 16021131264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24508192808).

16021131264 is an abundant number, since it is smaller than the sum of its proper divisors (32995254352).

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

16021131264 is an equidigital number, since it uses as much as digits as its factorization.

16021131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16021131264 in words is "sixteen billion, twenty-one million, one hundred thirty-one thousand, two hundred sixty-four".