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113670597456 = 243313197314593
BaseRepresentation
bin110100111011101001…
…0111010101101010000
3101212101220021122111000
41221313102322231100
53330244133104311
6124115231222000
711132602064523
oct1516722725520
9355356248430
10113670597456
11442310a8329
121a044077900
13a946ac7770
1457048acbba
152e544a2056
hex1a774bab50

113670597456 has 320 divisors, whose sum is σ = 374960723200. Its totient is φ = 32678608896.

The previous prime is 113670597449. The next prime is 113670597457. The reversal of 113670597456 is 654795076311.

113670597456 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 7 + 0 + 597 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113670597457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7782096 + ... + 7796688.

It is an arithmetic number, because the mean of its divisors is an integer number (1171752260).

Almost surely, 2113670597456 is an apocalyptic number.

113670597456 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 113670597456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187480361600).

113670597456 is an abundant number, since it is smaller than the sum of its proper divisors (261290125744).

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

113670597456 is a wasteful number, since it uses less digits than its factorization.

113670597456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14703 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 113670597456 in words is "one hundred thirteen billion, six hundred seventy million, five hundred ninety-seven thousand, four hundred fifty-six".