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21136858004160 = 26325171979218149
BaseRepresentation
bin1001100111001010011101…
…11010011011101011000000
32202211122220222100212212200
410303211032322123223000
510232301241122113120
6112542045530353200
74311042021432333
oct463451672335300
982748828325780
1021136858004160
11680a100341098
12245456ab8b800
13ba4274201412
1453105a8c661a
15269c4157be90
hex13394ee9bac0

21136858004160 has 336 divisors, whose sum is σ = 77017822596000. Its totient is φ = 5302231990272.

The previous prime is 21136858004099. The next prime is 21136858004183. The reversal of 21136858004160 is 6140085863112.

21136858004160 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 6 + 8 + 580 + 0 + 4 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96782766 + ... + 97000914.

Almost surely, 221136858004160 is an apocalyptic number.

21136858004160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21136858004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38508911298000).

21136858004160 is an abundant number, since it is smaller than the sum of its proper divisors (55880964591840).

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

21136858004160 is a wasteful number, since it uses less digits than its factorization.

21136858004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220168 (or 220155 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 21136858004160 in words is "twenty-one trillion, one hundred thirty-six billion, eight hundred fifty-eight million, four thousand, one hundred sixty".