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125132637696 = 2931111816271
BaseRepresentation
bin111010010001001111…
…1001000011000000000
3102221222201010121202220
41310202133020120000
54022232423401241
6133252442411040
712016621604463
oct1644237103000
9387881117686
10125132637696
1149083125860
1220302800a80
13ba526761b1
1460b0c932da
1533c58ac166
hex1d227c8600

125132637696 has 160 divisors (see below), whose sum is σ = 364032700416. Its totient is φ = 37880832000.

The previous prime is 125132637671. The next prime is 125132637739. The reversal of 125132637696 is 696736231521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19951041 + ... + 19957311.

Almost surely, 2125132637696 is an apocalyptic number.

125132637696 is a gapful number since it is divisible by the number (16) 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 125132637696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182016350208).

125132637696 is an abundant number, since it is smaller than the sum of its proper divisors (238900062720).

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

125132637696 is a wasteful number, since it uses less digits than its factorization.

125132637696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7484 (or 7468 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The spelling of 125132637696 in words is "one hundred twenty-five billion, one hundred thirty-two million, six hundred thirty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1181 1408 1536 2112 2362 2816 3543 4224 4724 5632 6271 7086 8448 9448 12542 12991 14172 16896 18813 18896 25084 25982 28344 37626 37792 38973 50168 51964 56688 68981 75252 75584 77946 100336 103928 113376 137962 150504 151168 155892 200672 206943 207856 226752 275924 301008 302336 311784 401344 413886 415712 453504 551848 602016 604672 623568 802688 827772 831424 907008 1103696 1204032 1247136 1605376 1655544 1662848 1814016 2207392 2408064 2494272 3210752 3311088 3325696 4414784 4816128 4988544 6622176 6651392 7406051 8829568 9632256 9977088 13244352 14812102 17659136 19954176 22218153 26488704 29624204 35318272 44436306 52977408 59248408 81466561 88872612 105954816 118496816 162933122 177745224 236993632 244399683 325866244 355490448 473987264 488799366 651732488 710980896 947974528 977598732 1303464976 1421961792 1895949056 1955197464 2606929952 2843923584 3791898112 3910394928 5213859904 5687847168 7820789856 10427719808 11375694336 15641579712 20855439616 31283159424 41710879232 62566318848 125132637696