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10392338880 = 2634571141127
BaseRepresentation
bin10011010110110111…
…01000000111000000
3222211021000111220000
421223123220013000
5132240414321010
64435115520000
7515350265040
oct115333500700
928737014800
1010392338880
114453228020
122020459000
13c98078961
147082d1720
1540c55b7c0
hex26b6e81c0

10392338880 has 1120 divisors, whose sum is σ = 47585083392. Its totient is φ = 2090188800.

The previous prime is 10392338813. The next prime is 10392338893. The reversal of 10392338880 is 8883329301.

10392338880 is a `hidden beast` number, since 103 + 92 + 3 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81829377 + ... + 81829503.

Almost surely, 210392338880 is an apocalyptic number.

10392338880 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 10392338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792541696).

10392338880 is an abundant number, since it is smaller than the sum of its proper divisors (37192744512).

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

10392338880 is a wasteful number, since it uses less digits than its factorization.

10392338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10392338880 in words is "ten billion, three hundred ninety-two million, three hundred thirty-eight thousand, eight hundred eighty".