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1357632880656 = 2431313123969491
BaseRepresentation
bin10011110000011001001…
…110011100000000010000
311210210021202210010200120
4103300121032130000100
5134220413004140111
62515404332150240
7200041260036453
oct23603116340020
94723252703616
101357632880656
11483850405478
1219b150608380
139b04130bba0
14499d18db49a
15254ad949406
hex13c1939c010

1357632880656 has 160 divisors (see below), whose sum is σ = 3821815388160. Its totient is φ = 412803955200.

The previous prime is 1357632880619. The next prime is 1357632880691. The reversal of 1357632880656 is 6560882367531.

It is a self number, because there is not a number n which added to its sum of digits gives 1357632880656.

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, 19502071 + ... + 19571561.

It is an arithmetic number, because the mean of its divisors is an integer number (23886346176).

Almost surely, 21357632880656 is an apocalyptic number.

1357632880656 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 1357632880656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910907694080).

1357632880656 is an abundant number, since it is smaller than the sum of its proper divisors (2464182507504).

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

1357632880656 is a wasteful number, since it uses less digits than its factorization.

1357632880656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69885 (or 69879 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 1357632880656 in words is "one trillion, three hundred fifty-seven billion, six hundred thirty-two million, eight hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 131 156 208 239 262 312 393 478 524 624 717 786 956 1048 1434 1572 1703 1912 2096 2868 3107 3144 3406 3824 5109 5736 6214 6288 6812 9321 10218 11472 12428 13624 18642 20436 24856 27248 31309 37284 40872 49712 62618 69491 74568 81744 93927 125236 138982 149136 187854 208473 250472 277964 375708 407017 416946 500944 555928 751416 814034 833892 903383 1111856 1221051 1502832 1628068 1667784 1806766 2442102 2710149 3256136 3335568 3613532 4884204 5420298 6512272 7227064 9103321 9768408 10840596 14454128 16608349 18206642 19536816 21681192 27309963 33216698 36413284 43362384 49825047 54619926 66433396 72826568 99650094 109239852 118343173 132866792 145653136 199300188 215908537 218479704 236686346 265733584 355029519 398600376 431817074 436959408 473372692 647725611 710059038 797200752 863634148 946745384 1295451222 1420118076 1727268296 1893490768 2175693719 2590902444 2840236152 3454536592 4351387438 5181804888 5680472304 6527081157 8702774876 10363609776 13054162314 17405549752 26108324628 28284018347 34811099504 52216649256 56568036694 84852055041 104433298512 113136073388 169704110082 226272146776 339408220164 452544293552 678816440328 1357632880656