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108396374688 = 253673192331
BaseRepresentation
bin110010011110011101…
…1010110101010100000
3101100210022220101000000
41210330323112222200
53233443432442223
6121444022300000
710555106661000
oct1447473265240
9340708811000
10108396374688
1141a74a22738
1219011887600
13a2b61c4ca4
145364228000
152c4642e543
hex193ced6aa0

108396374688 has 1344 divisors, whose sum is σ = 423069696000. Its totient is φ = 27159390720.

The previous prime is 108396374687. The next prime is 108396374693. The reversal of 108396374688 is 886473693801.

108396374688 is a `hidden beast` number, since 1 + 0 + 83 + 96 + 3 + 7 + 468 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (108396374687) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 3496657233 + ... + 3496657263.

It is an arithmetic number, because the mean of its divisors is an integer number (314784000).

Almost surely, 2108396374688 is an apocalyptic number.

108396374688 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 108396374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211534848000).

108396374688 is an abundant number, since it is smaller than the sum of its proper divisors (314673321312).

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

108396374688 is an equidigital number, since it uses as much as digits as its factorization.

108396374688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 108396374688 in words is "one hundred eight billion, three hundred ninety-six million, three hundred seventy-four thousand, six hundred eighty-eight".