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113746878960 = 24351113171931331
BaseRepresentation
bin110100111101111010…
…1111010000111110000
3101212121012211011000220
41221323311322013300
53330423200111320
6124130554213040
711134516342551
oct1517365720760
9355535734026
10113746878960
11442701697a0
121a065724180
13a959855450
145710a88328
152e5b01de40
hex1a7bd7a1f0

113746878960 has 1280 divisors, whose sum is σ = 478049402880. Its totient is φ = 21897216000.

The previous prime is 113746878911. The next prime is 113746878997. The reversal of 113746878960 is 69878647311.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 113746878894 and 113746878903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 343645995 + ... + 343646325.

It is an arithmetic number, because the mean of its divisors is an integer number (373476096).

Almost surely, 2113746878960 is an apocalyptic number.

113746878960 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 113746878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239024701440).

113746878960 is an abundant number, since it is smaller than the sum of its proper divisors (364302523920).

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

113746878960 is a wasteful number, since it uses less digits than its factorization.

113746878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The spelling of 113746878960 in words is "one hundred thirteen billion, seven hundred forty-six million, eight hundred seventy-eight thousand, nine hundred sixty".