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805613681632 = 251753127220013
BaseRepresentation
bin10111011100100100101…
…00010011101111100000
32212000102121021022111011
423232102110103233200
5101144344100303012
61414032133030304
7112126600210534
oct13562224235740
92760377238434
10805613681632
11290727a14901
12110172485394
135ac79cb4396
142adc5b31bc4
1515e5106a1a7
hexbb92513be0

805613681632 has 96 divisors (see below), whose sum is σ = 1724515494912. Its totient is φ = 369028767744.

The previous prime is 805613681603. The next prime is 805613681659. The reversal of 805613681632 is 236186316508.

805613681632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3551658 + ... + 3771670.

It is an arithmetic number, because the mean of its divisors is an integer number (17963703072).

Almost surely, 2805613681632 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 805613681632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862257747456).

805613681632 is an abundant number, since it is smaller than the sum of its proper divisors (918901813280).

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

805613681632 is a wasteful number, since it uses less digits than its factorization.

805613681632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220220 (or 220212 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 805613681632 in words is "eight hundred five billion, six hundred thirteen million, six hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 127 136 212 254 272 424 508 544 848 901 1016 1696 1802 2032 2159 3604 4064 4318 6731 7208 8636 13462 14416 17272 26924 28832 34544 53848 69088 107696 114427 215392 220013 228854 440026 457708 880052 915416 1760104 1830832 3520208 3661664 3740221 7040416 7480442 11660689 14960884 23321378 27941651 29921768 46642756 55883302 59843536 93285512 111766604 119687072 186571024 198231713 223533208 373142048 396463426 447066416 475008067 792926852 894132832 950016134 1480907503 1585853704 1900032268 2961815006 3171707408 3800064536 5923630012 6343414816 7600129072 11847260024 15200258144 23694520048 25175427551 47389040096 50350855102 100701710204 201403420408 402806840816 805613681632