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189397180421280 = 253251334929539817
BaseRepresentation
bin101011000100000101110111…
…101010010001010010100000
3220211121012020011000022101100
4223010011313222101102200
5144311040411141440110
61510451510304434400
754615331456031106
oct5304056752212240
9824535204008340
10189397180421280
1155390990856597
12192aa538618a00
13818b1012b24b0
1434aac2ddb1c76
1516d69c69c7bc0
hexac4177a914a0

189397180421280 has 576 divisors, whose sum is σ = 698336514439200. Its totient is φ = 46466784165888.

The previous prime is 189397180421237. The next prime is 189397180421347. The reversal of 189397180421280 is 82124081793981.

189397180421280 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 9 + 7 + 180 + 421 + 28 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 91887638326416 + 97509542094864 = 9585804^2 + 9874692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19292770932 + ... + 19292780748.

Almost surely, 2189397180421280 is an apocalyptic number.

189397180421280 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 189397180421280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349168257219600).

189397180421280 is an abundant number, since it is smaller than the sum of its proper divisors (508939334017920).

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

189397180421280 is a wasteful number, since it uses less digits than its factorization.

189397180421280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13142 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 189397180421280 in words is "one hundred eighty-nine trillion, three hundred ninety-seven billion, one hundred eighty million, four hundred twenty-one thousand, two hundred eighty".