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125953704020 = 22561103240741
BaseRepresentation
bin111010101001101101…
…1010000000001010100
3110001002221010010000202
41311103123100001110
54030423122012040
6133510133000032
712046151551034
oct1652333200124
9401087103022
10125953704020
1149464645071
12204b1783018
13bb537c3961
14614bd438c4
1534229e6015
hex1d536d0054

125953704020 has 24 divisors (see below), whose sum is σ = 268838892168. Its totient is φ = 49555555200.

The previous prime is 125953703989. The next prime is 125953704053. The reversal of 125953704020 is 20407359521.

It can be written as a sum of positive squares in 4 ways, for example, as 10899777604 + 115053926416 = 104402^2 + 339196^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51619151 + ... + 51621590.

It is an arithmetic number, because the mean of its divisors is an integer number (11201620507).

Almost surely, 2125953704020 is an apocalyptic number.

125953704020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125953704020 is an abundant number, since it is smaller than the sum of its proper divisors (142885188148).

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

125953704020 is a wasteful number, since it uses less digits than its factorization.

125953704020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103240811 (or 103240809 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 125953704020 in words is "one hundred twenty-five billion, nine hundred fifty-three million, seven hundred four thousand, twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 103240741 206481482 412962964 516203705 1032407410 2064814820 6297685201 12595370402 25190740804 31488426005 62976852010 125953704020