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125213839968 = 2537316010649
BaseRepresentation
bin111010010011101010…
…0111001001001100000
3102222012100221010100110
41310213110321021200
54022414220334333
6133304503051320
712021626036010
oct1644724711140
9388170833313
10125213839968
1149114a48278
1220325a40b40
13ba66437889
1460bb98dc40
1533cca9c063
hex1d27539260

125213839968 has 96 divisors (see below), whose sum is σ = 387759052800. Its totient is φ = 34621332480.

The previous prime is 125213839943. The next prime is 125213839973. The reversal of 125213839968 is 869938312521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2984493 + ... + 3026156.

It is an arithmetic number, because the mean of its divisors is an integer number (4039156800).

Almost surely, 2125213839968 is an apocalyptic number.

It is an amenable number.

125213839968 is an abundant number, since it is smaller than the sum of its proper divisors (262545212832).

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

125213839968 is a wasteful number, since it uses less digits than its factorization.

125213839968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010700 (or 6010692 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 125213839968 in words is "one hundred twenty-five billion, two hundred thirteen million, eight hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 6010649 12021298 18031947 24042596 36063894 42074543 48085192 72127788 84149086 96170384 126223629 144255576 168298172 186330119 192340768 252447258 288511152 336596344 372660238 504894516 558990357 577022304 673192688 745320476 1009789032 1117980714 1304310833 1346385376 1490640952 2019578064 2235961428 2608621666 2981281904 3912932499 4039156128 4471922856 5217243332 5962563808 7825864998 8943845712 10434486664 15651729996 17887691424 20868973328 31303459992 41737946656 62606919984 125213839968