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113918000196 = 2237112137112143
BaseRepresentation
bin110101000011000001…
…0101011110001000100
3101220001010211000020110
41222012002223301010
53331301002001241
6124155550033020
711141665011360
oct1520602536104
9356033730213
10113918000196
1144348817700
121a0b2aa8770
13a98613ac10
1457296b02a0
152e6b071816
hex1a860abc44

113918000196 has 288 divisors, whose sum is σ = 364688400384. Its totient is φ = 26926099200.

The previous prime is 113918000179. The next prime is 113918000197. The reversal of 113918000196 is 691000819311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (113918000197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9375301 + ... + 9387443.

It is an arithmetic number, because the mean of its divisors is an integer number (1266279168).

Almost surely, 2113918000196 is an apocalyptic number.

113918000196 is the 180411-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113918000196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182344200192).

113918000196 is an abundant number, since it is smaller than the sum of its proper divisors (250770400188).

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

113918000196 is a wasteful number, since it uses less digits than its factorization.

113918000196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12263 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 113918000196 in words is "one hundred thirteen billion, nine hundred eighteen million, one hundred ninety-six", and thus it is an aban number.