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117890136000 = 26325371319947
BaseRepresentation
bin110110111001011001…
…1001011011111000000
3102021021222002102012100
41231302303023133000
53412414333323000
6130054042430400
711342266423260
oct1556263133700
9367258072170
10117890136000
1145aa69aa06a
121aa21202400
13b16a054830
1459c504d7a0
1530eeb40a00
hex1b72ccb7c0

117890136000 has 1344 divisors, whose sum is σ = 546925317120. Its totient is φ = 23539507200.

The previous prime is 117890135999. The next prime is 117890136031. The reversal of 117890136000 is 631098711.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124487527 + ... + 124488473.

It is an arithmetic number, because the mean of its divisors is an integer number (406938480).

Almost surely, 2117890136000 is an apocalyptic number.

117890136000 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 117890136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273462658560).

117890136000 is an abundant number, since it is smaller than the sum of its proper divisors (429035181120).

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

117890136000 is a wasteful number, since it uses less digits than its factorization.

117890136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 117890136000 in words is "one hundred seventeen billion, eight hundred ninety million, one hundred thirty-six thousand".