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125054339680 = 255109127131431
BaseRepresentation
bin111010001110111010…
…0011100101001100000
3102221210020210200002101
41310131310130221200
54022102402332210
6133241004300144
712014651230414
oct1643564345140
9387706720071
10125054339680
1149042a07356
12202a0541654
13ba3c3906ca
1460a4710d44
1533bda92a3a
hex1d1dd1ca60

125054339680 has 192 divisors, whose sum is σ = 303495413760. Its totient is φ = 48683980800.

The previous prime is 125054339647. The next prime is 125054339681. The reversal of 125054339680 is 86933450521.

It is a self number, because there is not a number n which added to its sum of digits gives 125054339680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125054339681) 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, 290149065 + ... + 290149495.

It is an arithmetic number, because the mean of its divisors is an integer number (1580705280).

Almost surely, 2125054339680 is an apocalyptic number.

125054339680 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 125054339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151747706880).

125054339680 is an abundant number, since it is smaller than the sum of its proper divisors (178441074080).

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

125054339680 is a wasteful number, since it uses less digits than its factorization.

125054339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 125054339680 in words is "one hundred twenty-five billion, fifty-four million, three hundred thirty-nine thousand, six hundred eighty".