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10372925472 = 2537139712241
BaseRepresentation
bin10011010100100011…
…00100100000100000
3222202220111012200220
421222101210200200
5132220432103342
64433143443040
7515023261140
oct115221444040
928686435626
1010372925472
114443278488
122015a56480
13c9403c530
147058ba920
1540a9c45ec
hex26a464820

10372925472 has 192 divisors, whose sum is σ = 33860784384. Its totient is φ = 2707292160.

The previous prime is 10372925441. The next prime is 10372925477. The reversal of 10372925472 is 27452927301.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (10372925477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841272 + ... + 853512.

It is an arithmetic number, because the mean of its divisors is an integer number (176358252).

Almost surely, 210372925472 is an apocalyptic number.

10372925472 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 10372925472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930392192).

10372925472 is an abundant number, since it is smaller than the sum of its proper divisors (23487858912).

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

10372925472 is a wasteful number, since it uses less digits than its factorization.

10372925472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12371 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 10372925472 in words is "ten billion, three hundred seventy-two million, nine hundred twenty-five thousand, four hundred seventy-two".