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125388129969 = 3253262868197
BaseRepresentation
bin111010011000110110…
…1110000011010110001
3102222122111212222021200
41310301231300122301
54023243330124334
6133334050441413
712026143343064
oct1646155603261
9388574788250
10125388129969
11491a436a9a3
1220374293269
13ba9358c75b
1460d6b9c8db
1533dd028799
hex1d31b706b1

125388129969 has 12 divisors (see below), whose sum is σ = 184533474996. Its totient is φ = 82014877152.

The previous prime is 125388129961. The next prime is 125388129983. The reversal of 125388129969 is 969921883521.

125388129969 is a `hidden beast` number, since 1 + 2 + 538 + 8 + 1 + 2 + 9 + 96 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43133889969 + 82254240000 = 207687^2 + 286800^2 .

It is not a de Polignac number, because 125388129969 - 23 = 125388129961 is a prime.

It is a super-2 number, since 2×1253881299692 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (125388129961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131433622 + ... + 131434575.

It is an arithmetic number, because the mean of its divisors is an integer number (15377789583).

Almost surely, 2125388129969 is an apocalyptic number.

It is an amenable number.

125388129969 is a deficient number, since it is larger than the sum of its proper divisors (59145345027).

125388129969 is a wasteful number, since it uses less digits than its factorization.

125388129969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262868256 (or 262868253 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 125388129969 in words is "one hundred twenty-five billion, three hundred eighty-eight million, one hundred twenty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 53 159 477 262868197 788604591 2365813773 13932014441 41796043323 125388129969