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21197637864 = 23321322647049
BaseRepresentation
bin10011101111011110…
…100100100011101000
32000201022002120112200
4103233132210203220
5321403043402424
613423230540200
71350203643324
oct235736444350
960638076480
1021197637864
118a98572087
124137067660
131cca852bb0
14105139c984
15840e8b8c9
hex4ef7a48e8

21197637864 has 48 divisors (see below), whose sum is σ = 61826446500. Its totient is φ = 6522349824.

The previous prime is 21197637863. The next prime is 21197637871. The reversal of 21197637864 is 46873679112.

21197637864 is a `hidden beast` number, since 21 + 197 + 6 + 378 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16233308100 + 4964329764 = 127410^2 + 70458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21197637864.

It is not an unprimeable number, because it can be changed into a prime (21197637863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11322589 + ... + 11324460.

Almost surely, 221197637864 is an apocalyptic number.

21197637864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21197637864 is an abundant number, since it is smaller than the sum of its proper divisors (40628808636).

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

21197637864 is a wasteful number, since it uses less digits than its factorization.

21197637864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22647074 (or 22647067 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 21197637864 in words is "twenty-one billion, one hundred ninety-seven million, six hundred thirty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 22647049 45294098 67941147 90588196 135882294 181176392 203823441 271764588 294411637 407646882 543529176 588823274 815293764 883234911 1177646548 1630587528 1766469822 2355293096 2649704733 3532939644 5299409466 7065879288 10598818932 21197637864