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10656645340 = 22511531019049
BaseRepresentation
bin10011110110010111…
…11000000011011100
31000111200100200012011
421323023320003130
5133311100122330
64521240521004
7525036663565
oct117313700334
930450320164
1010656645340
114579442410
122094a80164
13100aa5a103
1473145316c
1542586982a
hex27b2f80dc

10656645340 has 96 divisors (see below), whose sum is σ = 25123089600. Its totient is φ = 3763968000.

The previous prime is 10656645289. The next prime is 10656645359. The reversal of 10656645340 is 4354665601.

It is a super-2 number, since 2×106566453402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10656645293 and 10656645302.

It is a congruent number.

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, 1173136 + ... + 1182184.

It is an arithmetic number, because the mean of its divisors is an integer number (261698850).

Almost surely, 210656645340 is an apocalyptic number.

10656645340 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 10656645340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561544800).

10656645340 is an abundant number, since it is smaller than the sum of its proper divisors (14466444260).

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

10656645340 is a wasteful number, since it uses less digits than its factorization.

10656645340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 10656645340 in words is "ten billion, six hundred fifty-six million, six hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 101 106 110 202 212 220 265 404 505 530 583 1010 1060 1111 1166 2020 2222 2332 2915 4444 5353 5555 5830 9049 10706 11110 11660 18098 21412 22220 26765 36196 45245 53530 58883 90490 99539 107060 117766 180980 199078 235532 294415 398156 479597 497695 588830 913949 959194 995390 1177660 1827898 1918388 1990780 2397985 3655796 4569745 4795970 5275567 9139490 9591940 10053439 10551134 18278980 20106878 21102268 26377835 40213756 48439297 50267195 52755670 96878594 100534390 105511340 193757188 201068780 242196485 484392970 532832267 968785940 1065664534 2131329068 2664161335 5328322670 10656645340