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113714748576 = 253211133189069
BaseRepresentation
bin110100111100111101…
…1010101110010100000
3101212111222100202102200
41221321323111302200
53330341433423301
6124123445413200
711133646262142
oct1517173256240
9355458322380
10113714748576
1144254013760
121a056a0a200
13a952cb58a0
14570a6c2c92
152e582c3c86
hex1a79ed5ca0

113714748576 has 288 divisors, whose sum is σ = 392170222080. Its totient is φ = 30781900800.

The previous prime is 113714748559. The next prime is 113714748577. The reversal of 113714748576 is 675847417311.

113714748576 is a `hidden beast` number, since 1 + 13 + 7 + 14 + 7 + 48 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (113714748577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1232170 + ... + 1321238.

It is an arithmetic number, because the mean of its divisors is an integer number (1361702160).

Almost surely, 2113714748576 is an apocalyptic number.

113714748576 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 113714748576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196085111040).

113714748576 is an abundant number, since it is smaller than the sum of its proper divisors (278455473504).

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

113714748576 is a wasteful number, since it uses less digits than its factorization.

113714748576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89140 (or 89129 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 113714748576 in words is "one hundred thirteen billion, seven hundred fourteen million, seven hundred forty-eight thousand, five hundred seventy-six".