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125949194720 = 25517294371523
BaseRepresentation
bin111010101001100101…
…0000011000111100000
3110001002121122000102122
41311103022003013200
54030420443212340
6133505452203412
712046065330266
oct1652312030740
9401077560378
10125949194720
1149462045178
12204b0169568
13bb528a532b
14614b4cc436
153422404db5
hex1d532831e0

125949194720 has 384 divisors, whose sum is σ = 338845731840. Its totient is φ = 44002344960.

The previous prime is 125949194711. The next prime is 125949194743. The reversal of 125949194720 is 27491949521.

It is a congruent number.

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, 240820379 + ... + 240820901.

It is an arithmetic number, because the mean of its divisors is an integer number (882410760).

Almost surely, 2125949194720 is an apocalyptic number.

125949194720 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 125949194720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169422865920).

125949194720 is an abundant number, since it is smaller than the sum of its proper divisors (212896537120).

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

125949194720 is a wasteful number, since it uses less digits than its factorization.

125949194720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 125949194720 in words is "one hundred twenty-five billion, nine hundred forty-nine million, one hundred ninety-four thousand, seven hundred twenty".