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12750925824 = 212337213181
BaseRepresentation
bin10111110000000001…
…11011000000000000
31012220122010010221000
423320000323000000
5202103214111244
65505132332000
7630660036600
oct137000730000
935818103830
1012750925824
11545362432a
12257a314000
1312828c4830
1488d650c00
154e9652169
hex2f803b000

12750925824 has 624 divisors, whose sum is σ = 47585123040. Its totient is φ = 3344302080.

The previous prime is 12750925823. The next prime is 12750925849. The reversal of 12750925824 is 42852905721.

12750925824 is a `hidden beast` number, since 12 + 7 + 50 + 9 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×127509258242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12750925824.

It is not an unprimeable number, because it can be changed into a prime (12750925823) 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 47 ways as a sum of consecutive naturals, for example, 70447014 + ... + 70447194.

It is an arithmetic number, because the mean of its divisors is an integer number (76258210).

Almost surely, 212750925824 is an apocalyptic number.

12750925824 is a gapful number since it is divisible by the number (14) 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 12750925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23792561520).

12750925824 is an abundant number, since it is smaller than the sum of its proper divisors (34834197216).

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

12750925824 is a wasteful number, since it uses less digits than its factorization.

12750925824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 12750925824 in words is "twelve billion, seven hundred fifty million, nine hundred twenty-five thousand, eight hundred twenty-four".