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188890678080 = 2634513331107
BaseRepresentation
bin1010111111101011000…
…0110000001101000000
3200001120010010122210000
42233322300300031000
511043322003144310
6222435234440000
716434613162236
oct2577260601500
9601503118700
10188890678080
1173120955215
1230737133000
1314a73869000
1491dc8b4956
154da7edd4c0
hex2bfac30340

188890678080 has 1120 divisors, whose sum is σ = 758387266560. Its totient is φ = 44575764480.

The previous prime is 188890678037. The next prime is 188890678121. The reversal of 188890678080 is 80876098881.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 188890677999 and 188890678017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1765333387 + ... + 1765333493.

It is an arithmetic number, because the mean of its divisors is an integer number (677131488).

Almost surely, 2188890678080 is an apocalyptic number.

188890678080 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 188890678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379193633280).

188890678080 is an abundant number, since it is smaller than the sum of its proper divisors (569496588480).

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

188890678080 is a wasteful number, since it uses less digits than its factorization.

188890678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 63.

The spelling of 188890678080 in words is "one hundred eighty-eight billion, eight hundred ninety million, six hundred seventy-eight thousand, eighty".