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125113254225552 = 24332053846716661
BaseRepresentation
bin11100011100101000110011…
…000100110010011010010000
3121101222201011210200220222000
4130130220303010302122100
5112344323421040204202
61122032122512314000
735232064034033655
oct3434506304623220
9541881153626860
10125113254225552
113695726235068a
1212047953842900
1354a718ac64188
1422c7729c9bc2c
15e6e7399ce91c
hex71ca33132690

125113254225552 has 160 divisors (see below), whose sum is σ = 359360305599360. Its totient is φ = 41676679457280.

The previous prime is 125113254225539. The next prime is 125113254225601. The reversal of 125113254225552 is 255522452311521.

125113254225552 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 1 + 3 + 2 + 542 + 2 + 55 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 125113254225498 and 125113254225507.

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, 7509340102 + ... + 7509356762.

It is an arithmetic number, because the mean of its divisors is an integer number (2246001909996).

Almost surely, 2125113254225552 is an apocalyptic number.

125113254225552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

125113254225552 is an abundant number, since it is smaller than the sum of its proper divisors (234247051373808).

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

125113254225552 is a wasteful number, since it uses less digits than its factorization.

125113254225552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27198 (or 27186 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 125113254225552 in words is "one hundred twenty-five trillion, one hundred thirteen billion, two hundred fifty-four million, two hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2053 4106 6159 8212 8467 12318 16424 16661 16934 18477 24636 25401 32848 33322 33868 36954 49272 49983 50802 55431 66644 67736 73908 76203 98544 99966 101604 110862 133288 135472 147816 149949 152406 199932 203208 221724 228609 266576 295632 299898 304812 399864 406416 443448 449847 457218 599796 609624 799728 886896 899694 914436 1199592 1219248 1799388 1828872 2399184 3598776 3657744 7197552 17382751 34205033 34765502 52148253 68410066 69531004 102615099 104296506 136820132 139062008 141068687 156444759 205230198 208593012 273640264 278124016 282137374 307845297 312889518 410460396 417186024 423206061 469334277 547280528 564274748 615690594 625779036 820920792 834372048 846412122 923535891 938668554 1128549496 1231381188 1251558072 1269618183 1641841584 1692824244 1847071782 1877337108 2257098992 2462762376 2503116144 2539236366 3385648488 3694143564 3754674216 3808854549 4925524752 5078472732 6771296976 7388287128 7509348432 7617709098 10156945464 14776574256 15235418196 20313890928 30470836392 60941672784 289614014411 579228028822 868842043233 1158456057644 1737684086466 2316912115288 2606526129699 3475368172932 4633824230576 5213052259398 6950736345864 7819578389097 10426104518796 13901472691728 15639156778194 20852209037592 31278313556388 41704418075184 62556627112776 125113254225552