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11656098961920 = 29355731791093
BaseRepresentation
bin1010100110011110010110…
…1000110101101000000000
31112021022102120121021100000
42221213211220311220000
53011433142313240140
640442423221200000
72312060666302230
oct251474550655000
945238376537300
1011656098961920
113794361a98956
121383043b60000
1366721c55918a
142c4230159cc0
15153306551a30
hexa99e5a35a00

11656098961920 has 1920 divisors, whose sum is σ = 50058236067840. Its totient is φ = 2543341731840.

The previous prime is 11656098961909. The next prime is 11656098961937. The reversal of 11656098961920 is 2916989065611.

11656098961920 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 0 + 9 + 8 + 9 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×116560989619202 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10664316894 + ... + 10664317986.

It is an arithmetic number, because the mean of its divisors is an integer number (26071997952).

Almost surely, 211656098961920 is an apocalyptic number.

11656098961920 is a gapful number since it is divisible by the number (10) 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 11656098961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25029118033920).

11656098961920 is an abundant number, since it is smaller than the sum of its proper divisors (38402137105920).

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

11656098961920 is an equidigital number, since it uses as much as digits as its factorization.

11656098961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 63.

The spelling of 11656098961920 in words is "eleven trillion, six hundred fifty-six billion, ninety-eight million, nine hundred sixty-one thousand, nine hundred twenty".