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125068087746 = 23472171948779
BaseRepresentation
bin111010001111010100…
…0111001000111000010
3102221211012200010220000
41310132220321013002
54022114412301441
6133242215100430
712015206130300
oct1643650710702
9387735603800
10125068087746
114904a747498
12202a5071716
13ba42195264
1460a648d270
1533bedab2b6
hex1d1ea391c2

125068087746 has 240 divisors, whose sum is σ = 363350512800. Its totient is φ = 31861009152.

The previous prime is 125068087709. The next prime is 125068087751. The reversal of 125068087746 is 647780860521.

125068087746 is a `hidden beast` number, since 12 + 506 + 8 + 0 + 87 + 7 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 125068087692 and 125068087701.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2539585 + ... + 2588363.

It is an arithmetic number, because the mean of its divisors is an integer number (1513960470).

Almost surely, 2125068087746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125068087746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181675256400).

125068087746 is an abundant number, since it is smaller than the sum of its proper divisors (238282425054).

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

125068087746 is a wasteful number, since it uses less digits than its factorization.

125068087746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48843 (or 48827 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 125068087746 in words is "one hundred twenty-five billion, sixty-eight million, eighty-seven thousand, seven hundred forty-six".