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125969764050 = 232521321533293
BaseRepresentation
bin111010101010001100…
…0100000111011010010
3110001011001100001020200
41311110120200323102
54030441224422200
6133511505120030
712046435220214
oct1652430407322
9401131301220
10125969764050
1149472714219
12204b7029016
13bb56c27930
1461501245b4
153424119800
hex1d54620ed2

125969764050 has 72 divisors (see below), whose sum is σ = 364472534244. Its totient is φ = 31007940480.

The previous prime is 125969764027. The next prime is 125969764051. The reversal of 125969764050 is 50467969521.

125969764050 is a `hidden beast` number, since 1 + 2 + 596 + 9 + 7 + 6 + 40 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25365977289 + 100603786761 = 159267^2 + 317181^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125969764051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10760797 + ... + 10772496.

Almost surely, 2125969764050 is an apocalyptic number.

125969764050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125969764050 is an abundant number, since it is smaller than the sum of its proper divisors (238502770194).

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

125969764050 is a wasteful number, since it uses less digits than its factorization.

125969764050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533324 (or 21533316 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 125969764050 in words is "one hundred twenty-five billion, nine hundred sixty-nine million, seven hundred sixty-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 21533293 43066586 64599879 107666465 129199758 193799637 215332930 279932809 322999395 387599274 538332325 559865618 645998790 839798427 968998185 1076664650 1399664045 1614996975 1679596854 1937996370 2519395281 2799328090 3229993950 4198992135 4844990925 5038790562 6998320225 8397984270 9689981850 12596976405 13996640450 20994960675 25193952810 41989921350 62984882025 125969764050