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125023726072 = 23729211712267
BaseRepresentation
bin111010001101111111…
…1101010100111111000
3102221201010012100010001
41310123333222213320
54022022033213242
6133233552202344
712014130065050
oct1643377524770
9387633170101
10125023726072
11490276a7953
12202922393b4
13ba35c3234b
1460a0622560
1533bb046eb7
hex1d1bfea9f8

125023726072 has 96 divisors (see below), whose sum is σ = 277824193920. Its totient is φ = 51666975360.

The previous prime is 125023726027. The next prime is 125023726171. The reversal of 125023726072 is 270627320521.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55148283 + ... + 55150549.

It is an arithmetic number, because the mean of its divisors is an integer number (2894002020).

Almost surely, 2125023726072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125023726072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138912096960).

125023726072 is an abundant number, since it is smaller than the sum of its proper divisors (152800467848).

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

125023726072 is a wasteful number, since it uses less digits than its factorization.

125023726072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 125023726072 in words is "one hundred twenty-five billion, twenty-three million, seven hundred twenty-six thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 841 1171 1624 1682 2267 2342 3364 4534 4684 5887 6728 8197 9068 9368 11774 15869 16394 18136 23548 31738 32788 33959 47096 63476 65576 65743 67918 126952 131486 135836 237713 262972 271672 460201 475426 525944 920402 950852 984811 1840804 1901704 1906547 1969622 2654657 3681608 3813094 3939244 5309314 6893677 7626188 7878488 10618628 13345829 13787354 15252376 18582599 21237256 26691658 27574708 37165198 53383316 55149416 74330396 76985053 106766632 148660792 153970106 307940212 538895371 615880424 1077790742 2155581484 2232566537 4311162968 4465133074 8930266148 15627965759 17860532296 31255931518 62511863036 125023726072