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188042389920 = 25335711565303
BaseRepresentation
bin1010111100100000110…
…0110010100110100000
3122222100222221011012000
42233020030302212200
511040102322434140
6222215133004000
716404602641020
oct2571014624640
9588328834160
10188042389920
1172826032820
123053b023600
1314969ba9c58
14915bd79a80
154d587c8a30
hex2bc83329a0

188042389920 has 384 divisors, whose sum is σ = 820550062080. Its totient is φ = 39073674240.

The previous prime is 188042389919. The next prime is 188042389933. The reversal of 188042389920 is 29983240881.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49989 + ... + 615291.

It is an arithmetic number, because the mean of its divisors is an integer number (2136849120).

Almost surely, 2188042389920 is an apocalyptic number.

188042389920 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 188042389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410275031040).

188042389920 is an abundant number, since it is smaller than the sum of its proper divisors (632507672160).

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

188042389920 is a wasteful number, since it uses less digits than its factorization.

188042389920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565345 (or 565331 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 188042389920 in words is "one hundred eighty-eight billion, forty-two million, three hundred eighty-nine thousand, nine hundred twenty".