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188056442880 = 2113451911933
BaseRepresentation
bin1010111100100100001…
…0011001100000000000
3122222101222101010020000
42233021002121200000
511040114422133010
6222220354120000
716405133250525
oct2571102314000
9588358333200
10188056442880
1172832a60a39
1230543880000
131496ca8a507
14915db9714c
154d59b527c0
hex2bc9099800

188056442880 has 480 divisors, whose sum is σ = 709588479600. Its totient is φ = 47505014784.

The previous prime is 188056442857. The next prime is 188056442897. The reversal of 188056442880 is 88244650881.

188056442880 is a `hidden beast` number, since 1 + 8 + 80 + 5 + 64 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15753394 + ... + 15765326.

Almost surely, 2188056442880 is an apocalyptic number.

188056442880 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 188056442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354794239800).

188056442880 is an abundant number, since it is smaller than the sum of its proper divisors (521532036720).

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

188056442880 is a wasteful number, since it uses less digits than its factorization.

188056442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11962 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 188056442880 in words is "one hundred eighty-eight billion, fifty-six million, four hundred forty-two thousand, eight hundred eighty".