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10453128192 = 2103313127229
BaseRepresentation
bin10011011110000111…
…00001010000000000
3222222111101221011000
421233003201100000
5132402000100232
64445130452000
7520016060253
oct115703412000
928874357130
1010453128192
114484577a21
122038894000
13ca7840c70
147123d709a
15412a6827c
hex26f0e1400

10453128192 has 352 divisors, whose sum is σ = 33747660800. Its totient is φ = 3177086976.

The previous prime is 10453128157. The next prime is 10453128193. The reversal of 10453128192 is 29182135401.

10453128192 is a `hidden beast` number, since 1 + 0 + 453 + 12 + 8 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453128193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45646734 + ... + 45646962.

Almost surely, 210453128192 is an apocalyptic number.

10453128192 is a gapful number since it is divisible by the number (12) 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 10453128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873830400).

10453128192 is an abundant number, since it is smaller than the sum of its proper divisors (23294532608).

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

10453128192 is a wasteful number, since it uses less digits than its factorization.

10453128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10453128192 in words is "ten billion, four hundred fifty-three million, one hundred twenty-eight thousand, one hundred ninety-two".