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188116992 = 212387
BaseRepresentation
bin10110011011001…
…11000000000000
3111002222100000000
423031213000000
5341124220432
630400000000
74442653020
oct1315470000
9432870000
10188116992
1197207098
1253000000
132cc8663b
141adaba80
15117ad57c
hexb367000

188116992 has 234 divisors, whose sum is σ = 644861048. Its totient is φ = 53747712.

The previous prime is 188116987. The next prime is 188117009. The reversal of 188116992 is 299611881.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (62208) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26873853 + ... + 26873859.

Almost surely, 2188116992 is an apocalyptic number.

188116992 is a gapful number since it is divisible by the number (12) 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 188116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322430524).

188116992 is an abundant number, since it is smaller than the sum of its proper divisors (456744056).

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

188116992 is an frugal number, since it uses more digits than its factorization.

188116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 12 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 188116992 is about 13715.5747965588. The cubic root of 188116992 is about 572.9842379371.

The spelling of 188116992 in words is "one hundred eighty-eight million, one hundred sixteen thousand, nine hundred ninety-two".