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108256296960 = 21833571923
BaseRepresentation
bin110010011010010010…
…1000000000000000000
3101100102120022200111000
41210310211000000000
53233202103000320
6121422100052000
710551456225060
oct1446445000000
9340376280430
10108256296960
1141a02948219
1218b92994000
13a29318b466
14534d7a33a0
152c38eaec90
hex1934940000

108256296960 has 1216 divisors, whose sum is σ = 483182899200. Its totient is φ = 22422749184.

The previous prime is 108256296959. The next prime is 108256296961. The reversal of 108256296960 is 69692652801.

It is a happy number.

108256296960 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 5 + 629 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (108256296959) and next prime (108256296961).

It is a tau number, because it is divible by the number of its divisors (1216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 108256296897 and 108256296906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108256296961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4706795509 + ... + 4706795531.

Almost surely, 2108256296960 is an apocalyptic number.

108256296960 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 108256296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241591449600).

108256296960 is an abundant number, since it is smaller than the sum of its proper divisors (374926602240).

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

108256296960 is an frugal number, since it uses more digits than its factorization.

108256296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 108256296960 in words is "one hundred eight billion, two hundred fifty-six million, two hundred ninety-six thousand, nine hundred sixty".