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108113304960 = 273553132221
BaseRepresentation
bin110010010110000001…
…1100001110110000000
3101100001121020221100000
41210230003201312000
53232404001224320
6121355551200000
710545101633553
oct1445403416600
9340047227300
10108113304960
114193a162211
1218b52b16000
13a26c6742cb
1453387c069a
152c2b666c90
hex192c0e1d80

108113304960 has 384 divisors, whose sum is σ = 388567539360. Its totient is φ = 28725166080.

The previous prime is 108113304919. The next prime is 108113304961. The reversal of 108113304960 is 69403311801.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108113304961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48676650 + ... + 48678870.

Almost surely, 2108113304960 is an apocalyptic number.

108113304960 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 108113304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194283769680).

108113304960 is an abundant number, since it is smaller than the sum of its proper divisors (280454234400).

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

108113304960 is an equidigital number, since it uses as much as digits as its factorization.

108113304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 108113304960 in words is "one hundred eight billion, one hundred thirteen million, three hundred four thousand, nine hundred sixty".