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12890507949670 = 251317113120142979
BaseRepresentation
bin1011101110010100111000…
…1001011011011001100110
31200122022122122220001212011
42323211032021123121212
53142144230013342140
643225452333544434
72500210542464641
oct273451611333146
950568578801764
1012890507949670
11411a9197567aa
12154232504511a
13726753797b60
14327c924a6a58
151754a1e77cea
hexbb94e25b666

12890507949670 has 128 divisors (see below), whose sum is σ = 26714606163840. Its totient is φ = 4436154777600.

The previous prime is 12890507949667. The next prime is 12890507949743. The reversal of 12890507949670 is 7694970509821.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12890507949596 and 12890507949605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299904241 + ... + 299947219.

It is an arithmetic number, because the mean of its divisors is an integer number (208707860655).

Almost surely, 212890507949670 is an apocalyptic number.

12890507949670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12890507949670 is an abundant number, since it is smaller than the sum of its proper divisors (13824098214170).

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

12890507949670 is a wasteful number, since it uses less digits than its factorization.

12890507949670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44330.

The product of its (nonzero) digits is 68584320, while the sum is 67.

The spelling of 12890507949670 in words is "twelve trillion, eight hundred ninety billion, five hundred seven million, nine hundred forty-nine thousand, six hundred seventy".

Divisors: 1 2 5 10 13 17 26 34 65 85 113 130 170 221 226 442 565 1105 1130 1201 1469 1921 2210 2402 2938 3842 6005 7345 9605 12010 14690 15613 19210 20417 24973 31226 40834 42979 49946 78065 85958 102085 124865 135713 156130 204170 214895 249730 265421 271426 429790 530842 558727 678565 730643 1117454 1327105 1357130 1461286 1764269 2307121 2654210 2793635 3528538 3653215 4614242 4856627 5587270 7306430 8821345 9498359 9713254 11535605 17642690 18996718 23071210 24283135 29992573 47491795 48566270 51617779 59985146 63136151 82562659 94983590 103235558 126272302 149962865 165125318 258088895 299925730 315680755 412813295 516177790 631361510 671031127 825626590 877502243 1073314567 1342062254 1755004486 2146629134 3355155635 4387511215 5366572835 5832809027 6710311270 8775022430 10733145670 11407529159 11665618054 22815058318 29164045135 57037645795 58328090270 75826517351 99157753459 114075291590 151653034702 198315506918 379132586755 495788767295 758265173510 991577534590 1289050794967 2578101589934 6445253974835 12890507949670