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125061027840 = 2113357192179
BaseRepresentation
bin111010001111000110…
…1111101100000000000
3102221210201101110112000
41310132031331200000
54022111110342330
6133241403504000
712015062124420
oct1643615754000
9387721343460
10125061027840
1149046765261
12202a2828000
13ba408929b8
1460a5572480
1533be464560
hex1d1e37d800

125061027840 has 1152 divisors, whose sum is σ = 539203392000. Its totient is φ = 26929594368.

The previous prime is 125061027827. The next prime is 125061027841. The reversal of 125061027840 is 48720160521.

125061027840 is a `hidden beast` number, since 1 + 2 + 506 + 102 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 125061027795 and 125061027804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125061027841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 698664871 + ... + 698665049.

It is an arithmetic number, because the mean of its divisors is an integer number (468058500).

Almost surely, 2125061027840 is an apocalyptic number.

125061027840 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 125061027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269601696000).

125061027840 is an abundant number, since it is smaller than the sum of its proper divisors (414142364160).

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

125061027840 is a wasteful number, since it uses less digits than its factorization.

125061027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 215 counting only the distinct ones).

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

The spelling of 125061027840 in words is "one hundred twenty-five billion, sixty-one million, twenty-seven thousand, eight hundred forty".