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10512137448 = 23331931531559
BaseRepresentation
bin10011100101001001…
…00111110011101000
31000010121102220122000
421302210213303220
5133012101344243
64455035331000
7521333460021
oct116244476350
930117386560
1010512137448
1145049114aa
1220545b0a60
13cb6b31c97
1471a197c48
15417d225d3
hex272927ce8

10512137448 has 256 divisors, whose sum is σ = 32348160000. Its totient is φ = 3149902080.

The previous prime is 10512137399. The next prime is 10512137513. The reversal of 10512137448 is 84473121501.

10512137448 is a `hidden beast` number, since 1 + 0 + 512 + 137 + 4 + 4 + 8 = 666.

10512137448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105121374482 (a number of 21 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 6742093 + ... + 6743651.

It is an arithmetic number, because the mean of its divisors is an integer number (126360000).

Almost surely, 210512137448 is an apocalyptic number.

10512137448 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 10512137448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080000).

10512137448 is an abundant number, since it is smaller than the sum of its proper divisors (21836022552).

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

10512137448 is a wasteful number, since it uses less digits than its factorization.

10512137448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 10512137448 its reverse (84473121501), we get a palindrome (94985258949).

The spelling of 10512137448 in words is "ten billion, five hundred twelve million, one hundred thirty-seven thousand, four hundred forty-eight".