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18170944856064 = 21335711213829
BaseRepresentation
bin1000010000110110000001…
…01101101010000000000000
32101100010101101112002200000
410020123000231222000000
54340203043340343224
6102351341122400000
73553543644562230
oct410330055520000
971303341462600
1018170944856064
115876288723800
122055798800000
13a1a688677090
1446b69ab19cc0
15217a046410c9
hex1086c0b6a000

18170944856064 has 2016 divisors, whose sum is σ = 73729717676160. Its totient is φ = 4351414763520.

The previous prime is 18170944856023. The next prime is 18170944856069. The reversal of 18170944856064 is 46065844907181.

18170944856064 is a `hidden beast` number, since 1 + 8 + 1 + 7 + 0 + 9 + 4 + 4 + 8 + 560 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18170944855992 and 18170944856010.

It is not an unprimeable number, because it can be changed into a prime (18170944856069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21919112802 + ... + 21919113630.

Almost surely, 218170944856064 is an apocalyptic number.

18170944856064 is a gapful number since it is divisible by the number (14) 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 18170944856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864858838080).

18170944856064 is an abundant number, since it is smaller than the sum of its proper divisors (55558772820096).

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

18170944856064 is an equidigital number, since it uses as much as digits as its factorization.

18170944856064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 18170944856064 in words is "eighteen trillion, one hundred seventy billion, nine hundred forty-four million, eight hundred fifty-six thousand, sixty-four".