Search a number
-
+
23216563680 = 2535471029103
BaseRepresentation
bin10101100111110100…
…001010010111100000
32012221000001122002220
4111213310022113200
5340021420014210
614355431311040
71451220351402
oct254764122740
965830048086
1023216563680
119934165a12
1245bb21b480
13225cbc575b
1411a3582b72
1590d33bc70
hex567d0a5e0

23216563680 has 96 divisors (see below), whose sum is σ = 74688251904. Its totient is φ = 6059352576.

The previous prime is 23216563631. The next prime is 23216563703. The reversal of 23216563680 is 8636561232.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491992 + ... + 537111.

It is an arithmetic number, because the mean of its divisors is an integer number (778002624).

Almost surely, 223216563680 is an apocalyptic number.

23216563680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23216563680 is an abundant number, since it is smaller than the sum of its proper divisors (51471688224).

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

23216563680 is a wasteful number, since it uses less digits than its factorization.

23216563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029168 (or 1029160 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 23216563680 in words is "twenty-three billion, two hundred sixteen million, five hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 1029103 2058206 3087309 4116412 5145515 6174618 8232824 10291030 12349236 15436545 16465648 20582060 24698472 30873090 32931296 41164120 48367841 49396944 61746180 82328240 96735682 98793888 123492360 145103523 164656480 193471364 241839205 246984720 290207046 386942728 483678410 493969440 580414092 725517615 773885456 967356820 1160828184 1451035230 1547770912 1934713640 2321656368 2902070460 3869427280 4643312736 5804140920 7738854560 11608281840 23216563680