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116145476370 = 234571123143127
BaseRepresentation
bin110110000101011001…
…1110101001100010010
3102002210101012112010000
41230022303311030102
53400331220220440
6125205000350430
711251123155120
oct1541263651422
9362711175100
10116145476370
1145291103500
121a614a75416
13ac4c76c861
14589b460910
15304b8b9730
hex1b0acf5312

116145476370 has 960 divisors, whose sum is σ = 417649655808. Its totient is φ = 22632825600.

The previous prime is 116145476357. The next prime is 116145476393. The reversal of 116145476370 is 73674541611.

It is a happy number.

116145476370 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 5 + 4 + 7 + 637 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 914531247 + ... + 914531373.

Almost surely, 2116145476370 is an apocalyptic number.

116145476370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116145476370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208824827904).

116145476370 is an abundant number, since it is smaller than the sum of its proper divisors (301504179438).

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

116145476370 is a wasteful number, since it uses less digits than its factorization.

116145476370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 116145476370 in words is "one hundred sixteen billion, one hundred forty-five million, four hundred seventy-six thousand, three hundred seventy".