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113467392000 = 216365319
BaseRepresentation
bin110100110101100101…
…1110000000000000000
3101211212201220202000000
41221223023300000000
53324340123021000
6124043132000000
711124553630014
oct1515313600000
9354781822000
10113467392000
1144137426036
1219ba8000000
13a91398a451
1456c58d4544
152e41713000
hex1a6b2f0000

113467392000 has 952 divisors, whose sum is σ = 446973081360. Its totient is φ = 28665446400.

The previous prime is 113467391977. The next prime is 113467392001. The reversal of 113467392000 is 293764311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113467392001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5971967991 + ... + 5971968009.

Almost surely, 2113467392000 is an apocalyptic number.

113467392000 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 113467392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223486540680).

113467392000 is an abundant number, since it is smaller than the sum of its proper divisors (333505689360).

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

113467392000 is an frugal number, since it uses more digits than its factorization.

113467392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 113467392000 in words is "one hundred thirteen billion, four hundred sixty-seven million, three hundred ninety-two thousand".