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125043938760 = 2335131375211123
BaseRepresentation
bin111010001110100110…
…0110001010111001000
3102221202112020020201010
41310131030301113020
54022042222020020
6133235553323520
712014463641136
oct1643514612710
9387675206633
10125043938760
1149038052a54
1220298b665a0
13ba3a18b510
1460a31a4756
1533bcbdade0
hex1d1d3315c8

125043938760 has 256 divisors, whose sum is σ = 408081058560. Its totient is φ = 30469570560.

The previous prime is 125043938749. The next prime is 125043938771. The reversal of 125043938760 is 67839340521.

It is an interprime number because it is at equal distance from previous prime (125043938749) and next prime (125043938771).

It is a super-2 number, since 2×1250439387602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111347559 + ... + 111348681.

It is an arithmetic number, because the mean of its divisors is an integer number (1594066635).

It is a 1-persistent number, because it is pandigital, but 2⋅125043938760 = 250087877520 is not.

Almost surely, 2125043938760 is an apocalyptic number.

125043938760 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 125043938760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204040529280).

125043938760 is an abundant number, since it is smaller than the sum of its proper divisors (283037119800).

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

125043938760 is a wasteful number, since it uses less digits than its factorization.

125043938760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 125043938760 in words is "one hundred twenty-five billion, forty-three million, nine hundred thirty-eight thousand, seven hundred sixty".