Search a number
-
+
21747311712 = 2532721541051
BaseRepresentation
bin10100010000001111…
…011010010001100000
32002010121101220022100
4110100033122101200
5324014302433322
613553544210400
71366630046100
oct242017322140
962117356270
1021747311712
11924a877195
12426b169a00
1320876aaaa9
1410a43a5200
15874367dac
hex5103da460

21747311712 has 108 divisors (see below), whose sum is σ = 71940930516. Its totient is φ = 6213513600.

The previous prime is 21747311711. The next prime is 21747311731. The reversal of 21747311712 is 21711374712.

21747311712 is a `hidden beast` number, since 2 + 17 + 473 + 1 + 171 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21747311711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 756414 + ... + 784637.

It is an arithmetic number, because the mean of its divisors is an integer number (666119727).

Almost surely, 221747311712 is an apocalyptic number.

It is an amenable number.

21747311712 is an abundant number, since it is smaller than the sum of its proper divisors (50193618804).

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

21747311712 is a wasteful number, since it uses less digits than its factorization.

21747311712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541081 (or 1541063 counting only the distinct ones).

The product of its digits is 16464, while the sum is 36.

Subtracting from 21747311712 its reverse (21711374712), we obtain a cube (35937000 = 3303).

The spelling of 21747311712 in words is "twenty-one billion, seven hundred forty-seven million, three hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 1541051 3082102 4623153 6164204 9246306 10787357 12328408 13869459 18492612 21574714 24656816 27738918 32362071 36985224 43149428 49313632 55477836 64724142 73970448 75511499 86298856 97086213 110955672 129448284 147940896 151022998 172597712 194172426 221911344 226534497 258896568 302045996 345195424 388344852 443822688 453068994 517793136 604091992 679603491 776689704 906137988 1035586272 1208183984 1359206982 1553379408 1812275976 2416367968 2718413964 3106758816 3624551952 5436827928 7249103904 10873655856 21747311712