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125213684880 = 24354361319793
BaseRepresentation
bin111010010011101010…
…0010011010010010000
3102222012100122020121110
41310213110103102100
54022414200404010
6133304455453320
712021624521604
oct1644724232220
9388170566543
10125213684880
11491149517a9
1220325987240
13ba663b20cb
1460bb94d504
1533cca6b120
hex1d27513490

125213684880 has 160 divisors (see below), whose sum is σ = 397857499776. Its totient is φ = 32558948352.

The previous prime is 125213684863. The next prime is 125213684933. The reversal of 125213684880 is 88486312521.

It is a super-2 number, since 2×1252136848802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6316264 + ... + 6336056.

Almost surely, 2125213684880 is an apocalyptic number.

125213684880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125213684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198928749888).

125213684880 is an abundant number, since it is smaller than the sum of its proper divisors (272643814896).

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

125213684880 is a wasteful number, since it uses less digits than its factorization.

125213684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20465 (or 20459 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 125213684880 in words is "one hundred twenty-five billion, two hundred thirteen million, six hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 613 645 688 860 1032 1226 1290 1720 1839 2064 2452 2580 3065 3440 3678 4904 5160 6130 7356 9195 9808 10320 12260 14712 18390 19793 24520 26359 29424 36780 39586 49040 52718 59379 73560 79077 79172 98965 105436 118758 131795 147120 158154 158344 197930 210872 237516 263590 296895 316308 316688 395385 395860 421744 475032 527180 593790 632616 790770 791720 851099 950064 1054360 1187580 1265232 1581540 1583440 1702198 2108720 2375160 2553297 3163080 3404396 4255495 4750320 5106594 6326160 6808792 8510990 10213188 12133109 12766485 13617584 17021980 20426376 24266218 25532970 34043960 36399327 40852752 48532436 51065940 60665545 68087920 72798654 97064872 102131880 121331090 145597308 181996635 194129744 204263760 242662180 291194616 363993270 485324360 521723687 582389232 727986540 970648720 1043447374 1455973080 1565171061 2086894748 2608618435 2911946160 3130342122 4173789496 5217236870 6260684244 7825855305 8347578992 10434473740 12521368488 15651710610 20868947480 25042736976 31303421220 41737894960 62606842440 125213684880