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188131870920 = 23357377398191
BaseRepresentation
bin1010111100110110001…
…0001000100011001000
3122222121020022021001010
42233031202020203020
511040243224332140
6222232050523520
716410040342410
oct2571542104310
9588536267033
10188131870920
117287159a164
1230564b965a0
13149825a98a6
149169bcd640
154d615a1880
hex2bcd8888c8

188131870920 has 256 divisors, whose sum is σ = 663434035200. Its totient is φ = 41777648640.

The previous prime is 188131870919. The next prime is 188131870921. The reversal of 188131870920 is 29078131881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (188131870919) and next prime (188131870921).

It is a self number, because there is not a number n which added to its sum of digits gives 188131870920.

It is not an unprimeable number, because it can be changed into a prime (188131870921) 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, 22964025 + ... + 22972215.

It is an arithmetic number, because the mean of its divisors is an integer number (2591539200).

Almost surely, 2188131870920 is an apocalyptic number.

188131870920 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 188131870920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331717017600).

188131870920 is an abundant number, since it is smaller than the sum of its proper divisors (475302164280).

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

188131870920 is a wasteful number, since it uses less digits than its factorization.

188131870920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8988 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 188131870920 in words is "one hundred eighty-eight billion, one hundred thirty-one million, eight hundred seventy thousand, nine hundred twenty".