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114781080960 = 27325731341109
BaseRepresentation
bin110101011100101111…
…1000100110110000000
3101222021021212001110200
41222321133010312000
53340032424042320
6124421340525200
711202245043000
oct1527137046600
9358237761420
10114781080960
1144750a22a97
121a2b3b50800
13aa92ba90b0
1457ac17a000
152ebbc09290
hex1ab97c4d80

114781080960 has 1536 divisors, whose sum is σ = 514594080000. Its totient is φ = 23410114560.

The previous prime is 114781080941. The next prime is 114781080983. The reversal of 114781080960 is 69080187411.

It is a happy number.

114781080960 is a `hidden beast` number, since 1 + 1 + 478 + 10 + 80 + 96 + 0 = 666.

114781080960 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1053037386 + ... + 1053037494.

Almost surely, 2114781080960 is an apocalyptic number.

114781080960 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 114781080960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257297040000).

114781080960 is an abundant number, since it is smaller than the sum of its proper divisors (399812999040).

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

114781080960 is a wasteful number, since it uses less digits than its factorization.

114781080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 114781080960 in words is "one hundred fourteen billion, seven hundred eighty-one million, eighty thousand, nine hundred sixty".