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118096148352 = 27371317613259
BaseRepresentation
bin110110111111100010…
…1000011011110000000
3102021211022201221000110
41231333011003132000
53413330103221402
6130130322151320
711350350461340
oct1557705033600
9367738657013
10118096148352
11460a2219206
121aa7a1b2540
13b1a0935630
145a04558d20
153112c8656c
hex1b7f143780

118096148352 has 512 divisors, whose sum is σ = 415623398400. Its totient is φ = 28824698880.

The previous prime is 118096148321. The next prime is 118096148377. The reversal of 118096148352 is 253841690811.

It is a happy number.

118096148352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36235299 + ... + 36238557.

It is an arithmetic number, because the mean of its divisors is an integer number (811764450).

Almost surely, 2118096148352 is an apocalyptic number.

118096148352 is a gapful number since it is divisible by the number (12) 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 118096148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207811699200).

118096148352 is an abundant number, since it is smaller than the sum of its proper divisors (297527250048).

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

118096148352 is a wasteful number, since it uses less digits than its factorization.

118096148352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3374 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 118096148352 in words is "one hundred eighteen billion, ninety-six million, one hundred forty-eight thousand, three hundred fifty-two".