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512971879112 = 2371143193100343
BaseRepresentation
bin1110111011011111000…
…00011011001011001000
31211001001220002110002122
413131233200123023020
531401031300112422
61031353411350412
752026631013030
oct7355740331310
91731056073078
10512971879112
11188606286250
12835012b2408
13394b0754ba4
141ab83d4c8c0
15d52487cd42
hex776f81b2c8

512971879112 has 128 divisors (see below), whose sum is σ = 1233412392960. Its totient is φ = 194197893120.

The previous prime is 512971879103. The next prime is 512971879141. The reversal of 512971879112 is 211978179215.

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, 5062013 + ... + 5162355.

It is an arithmetic number, because the mean of its divisors is an integer number (9636034320).

Almost surely, 2512971879112 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 512971879112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616706196480).

512971879112 is an abundant number, since it is smaller than the sum of its proper divisors (720440513848).

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

512971879112 is a wasteful number, since it uses less digits than its factorization.

512971879112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100603 (or 100599 counting only the distinct ones).

The product of its digits is 635040, while the sum is 53.

The spelling of 512971879112 in words is "five hundred twelve billion, nine hundred seventy-one million, eight hundred seventy-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 154 172 193 301 308 344 386 473 602 616 772 946 1204 1351 1544 1892 2123 2408 2702 3311 3784 4246 5404 6622 8299 8492 10808 13244 14861 16598 16984 26488 29722 33196 58093 59444 66392 91289 100343 116186 118888 182578 200686 232372 365156 401372 464744 639023 702401 730312 802744 1103773 1278046 1404802 2207546 2556092 2809604 4314749 4415092 5112184 5619208 7726411 8629498 8830184 15452822 17258996 19366199 30203243 30905644 34517992 38732398 47462239 60406486 61811288 77464796 94924478 120812972 135563393 154929592 189848956 213028189 241625944 271126786 332235673 379697912 426056378 542253572 664471346 832746557 852112756 1084507144 1328942692 1491197323 1665493114 1704225512 2657885384 2982394646 3330986228 5829225899 5964789292 6661972456 9160212127 11658451798 11929578584 18320424254 23316903596 36640848508 46633807192 64121484889 73281697016 128242969778 256485939556 512971879112