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125665621224 = 2331113241115187
BaseRepresentation
bin111010100001001000…
…0010011010011101000
3110000100212000222201120
41311002100103103220
54024330344334344
6133421402215240
712036053104353
oct1650220232350
9400325028646
10125665621224
1149326a70210
12204311b4520
13bb08c09270
14612199329a
15340758d219
hex1d424134e8

125665621224 has 128 divisors (see below), whose sum is σ = 369265236480. Its totient is φ = 35134329600.

The previous prime is 125665621199. The next prime is 125665621231. The reversal of 125665621224 is 422126566521.

It is a happy number.

It is a super-2 number, since 2×1256656212242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266959 + ... + 8282145.

It is an arithmetic number, because the mean of its divisors is an integer number (2884884660).

Almost surely, 2125665621224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125665621224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184632618240).

125665621224 is an abundant number, since it is smaller than the sum of its proper divisors (243599615256).

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

125665621224 is a wasteful number, since it uses less digits than its factorization.

125665621224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17631 (or 17627 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The spelling of 125665621224 in words is "one hundred twenty-five billion, six hundred sixty-five million, six hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 2411 3432 4822 7233 9644 14466 15187 19288 26521 28932 30374 31343 45561 53042 57864 60748 62686 79563 91122 94029 106084 121496 125372 159126 167057 182244 188058 197431 212168 250744 318252 334114 344773 364488 376116 394862 501171 592293 636504 668228 689546 752232 789724 1002342 1034319 1184586 1336456 1379092 1579448 2004684 2068638 2171741 2369172 2758184 4009368 4137276 4343482 4738344 6515223 8274552 8686964 13030446 17373928 26060892 36615857 52121784 73231714 109847571 146463428 219695142 292926856 402774427 439390284 476006141 805548854 878780568 952012282 1208323281 1428018423 1611097708 1904024564 2416646562 2856036846 3222195416 3808049128 4833293124 5236067551 5712073692 9666586248 10472135102 11424147384 15708202653 20944270204 31416405306 41888540408 62832810612 125665621224