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108254975136 = 253711213110163
BaseRepresentation
bin110010011010001111…
…1111101010010100000
3101100102110211112021120
41210310133331102200
53233201233201021
6121422011452240
710551442051260
oct1446437752240
9340373745246
10108254975136
1141a02125100
1218b92457080
13a292b17909
14534d53b7a0
152c38ced2c6
hex19347fd4a0

108254975136 has 288 divisors, whose sum is σ = 359733394944. Its totient is φ = 27900787200.

The previous prime is 108254975131. The next prime is 108254975161. The reversal of 108254975136 is 631579452801.

It is not an unprimeable number, because it can be changed into a prime (108254975131) 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 47 ways as a sum of consecutive naturals, for example, 10646791 + ... + 10656953.

It is an arithmetic number, because the mean of its divisors is an integer number (1249074288).

It is a 1-persistent number, because it is pandigital, but 2⋅108254975136 = 216509950272 is not.

Almost surely, 2108254975136 is an apocalyptic number.

108254975136 is a gapful number since it is divisible by the number (16) 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 108254975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179866697472).

108254975136 is an abundant number, since it is smaller than the sum of its proper divisors (251478419808).

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

108254975136 is a wasteful number, since it uses less digits than its factorization.

108254975136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 108254975136 in words is "one hundred eight billion, two hundred fifty-four million, nine hundred seventy-five thousand, one hundred thirty-six".