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125140039164 = 223272321590759
BaseRepresentation
bin111010010001011101…
…1010111010111111100
3102222000020001122200100
41310202323113113330
54022241322223124
6133253305201100
712020041532220
oct1644273272774
9388006048610
10125140039164
1149087320678
1220305190190
13ba5406806a
1460b1c5c780
1533c63701c9
hex1d22ed75fc

125140039164 has 72 divisors (see below), whose sum is σ = 377233758720. Its totient is φ = 34199760672.

The previous prime is 125140039147. The next prime is 125140039183. The reversal of 125140039164 is 461930041521.

It is a happy number.

125140039164 is a `hidden beast` number, since 12 + 51 + 400 + 39 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10789584 + ... + 10801175.

It is an arithmetic number, because the mean of its divisors is an integer number (5239357760).

Almost surely, 2125140039164 is an apocalyptic number.

125140039164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

125140039164 is an abundant number, since it is smaller than the sum of its proper divisors (252093719556).

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

125140039164 is a wasteful number, since it uses less digits than its factorization.

125140039164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21590799 (or 21590794 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 125140039164 in words is "one hundred twenty-five billion, one hundred forty million, thirty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 21590759 43181518 64772277 86363036 129544554 151135313 194316831 259089108 302270626 388633662 453405939 496587457 604541252 777267324 906811878 993174914 1360217817 1489762371 1813623756 1986349828 2720435634 2979524742 3476112199 4469287113 5440871268 5959049484 6952224398 8938574226 10428336597 13904448796 17877148452 20856673194 31285009791 41713346388 62570019582 125140039164