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189492020928 = 26327415931933
BaseRepresentation
bin1011000001111010011…
…0101100011011000000
3200010010000200001002100
42300132212230123000
511101034424132203
6223015035350400
716455534413340
oct2603646543300
9603100601070
10189492020928
11733aa33aa81
12308845b2400
1314b3b314b92
1492586cad20
154de0bc3ea3
hex2c1e9ac6c0

189492020928 has 336 divisors, whose sum is σ = 637278497856. Its totient is φ = 52703723520.

The previous prime is 189492020917. The next prime is 189492020941. The reversal of 189492020928 is 829020294981.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 98029050 + ... + 98030982.

It is an arithmetic number, because the mean of its divisors is an integer number (1896662196).

Almost surely, 2189492020928 is an apocalyptic number.

189492020928 is a gapful number since it is divisible by the number (18) 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 189492020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318639248928).

189492020928 is an abundant number, since it is smaller than the sum of its proper divisors (447786476928).

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

189492020928 is a wasteful number, since it uses less digits than its factorization.

189492020928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 189492020928 in words is "one hundred eighty-nine billion, four hundred ninety-two million, twenty thousand, nine hundred twenty-eight".