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2680651131210 = 234513293868849
BaseRepresentation
bin100111000000100011010…
…000100010100101001010
3100111021020012000212120000
4213000203100202211022
5322404433142144320
65411250224543430
7364446014442303
oct47004320424512
910437205025500
102680651131210
11943948751a28
12373640781b76
13165a271b5510
1493a5c1657aa
1549ae3586c90
hex2702342294a

2680651131210 has 160 divisors (see below), whose sum is σ = 7788934414800. Its totient is φ = 657599772672.

The previous prime is 2680651131199. The next prime is 2680651131211. The reversal of 2680651131210 is 121311560862.

2680651131210 is a `hidden beast` number, since 26 + 80 + 6 + 511 + 31 + 2 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2275189107129 + 405462024081 = 1508373^2 + 636759^2 .

It is not an unprimeable number, because it can be changed into a prime (2680651131211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2650866 + ... + 3519714.

Almost surely, 22680651131210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680651131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894467207400).

2680651131210 is an abundant number, since it is smaller than the sum of its proper divisors (5108283283590).

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

2680651131210 is a wasteful number, since it uses less digits than its factorization.

2680651131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869174 (or 869165 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 2680651131210 in words is "two trillion, six hundred eighty billion, six hundred fifty-one million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 293 351 390 405 585 586 702 810 879 1053 1170 1465 1755 1758 2106 2637 2930 3510 3809 4395 5265 5274 7618 7911 8790 10530 11427 13185 15822 19045 22854 23733 26370 34281 38090 39555 47466 57135 68562 79110 102843 114270 118665 171405 205686 237330 308529 342810 514215 617058 868849 1028430 1542645 1737698 2606547 3085290 4344245 5213094 7819641 8688490 11295037 13032735 15639282 22590074 23458923 26065470 33885111 39098205 46917846 56475185 67770222 70376769 78196410 101655333 112950370 117294615 140753538 169425555 203310666 234589230 254572757 304965999 338851110 351883845 508276665 509145514 609931998 703767690 763718271 914897997 1016553330 1272863785 1524829995 1527436542 1829795994 2291154813 2545727570 3049659990 3309445841 3818591355 4574489985 4582309626 6618891682 6873464439 7637182710 9148979970 9928337523 11455774065 13746928878 16547229205 19856675046 20620393317 22911548130 29785012569 33094458410 34367322195 41240786634 49641687615 59570025138 68734644390 89355037707 99283375230 103101966585 148925062845 178710075414 206203933170 268065113121 297850125690 446775188535 536130226242 893550377070 1340325565605 2680651131210