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18627641376768 = 21533891811307
BaseRepresentation
bin1000011110001000101011…
…11100101000000000000000
32102221210012100121010202000
410033010111330220000000
54420143402143024033
6103341230442024000
73631542214135044
oct417042574500000
972853170533660
1018627641376768
115a31a35a32286
12210a1b34a8000
13a5176b212708
14485822b2c024
1522483374da13
hex10f115f28000

18627641376768 has 512 divisors, whose sum is σ = 56163599856000. Its totient is φ = 6100856340480.

The previous prime is 18627641376767. The next prime is 18627641376809. The reversal of 18627641376768 is 86767314672681.

18627641376768 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 76 + 413 + 76 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×186276413767682 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18627641376696 and 18627641376705.

It is not an unprimeable number, because it can be changed into a prime (18627641376763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14252211571 + ... + 14252212877.

Almost surely, 218627641376768 is an apocalyptic number.

18627641376768 is a gapful number since it is divisible by the number (18) 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 18627641376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28081799928000).

18627641376768 is an abundant number, since it is smaller than the sum of its proper divisors (37535958479232).

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

18627641376768 is an equidigital number, since it uses as much as digits as its factorization.

18627641376768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1582 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 18627641376768 in words is "eighteen trillion, six hundred twenty-seven billion, six hundred forty-one million, three hundred seventy-six thousand, seven hundred sixty-eight".