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21419774532 = 2232133270821
BaseRepresentation
bin10011111100101101…
…111101001001000100
32001021210002021202200
4103330231331021010
5322331430241112
613501244034500
71355542036152
oct237455751104
961253067680
1021419774532
1190a19a4702
124199532a30
13203488b000
141072aa43d2
15855719cdc
hex4fcb7d244

21419774532 has 72 divisors (see below), whose sum is σ = 58654628760. Its totient is φ = 6590675520.

The previous prime is 21419774527. The next prime is 21419774533. The reversal of 21419774532 is 23547791412.

21419774532 is a `hidden beast` number, since 2 + 1 + 4 + 197 + 7 + 453 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11897137476 + 9522637056 = 109074^2 + 97584^2 .

It is not an unprimeable number, because it can be changed into a prime (21419774533) 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 23 ways as a sum of consecutive naturals, for example, 56319 + ... + 214502.

Almost surely, 221419774532 is an apocalyptic number.

It is an amenable number.

21419774532 is an abundant number, since it is smaller than the sum of its proper divisors (37234854228).

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

21419774532 is a wasteful number, since it uses less digits than its factorization.

21419774532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270870 (or 270839 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 21419774532 in words is "twenty-one billion, four hundred nineteen million, seven hundred seventy-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2197 3042 4394 6084 6591 8788 13182 19773 26364 39546 79092 270821 541642 812463 1083284 1624926 2437389 3249852 3520673 4874778 7041346 9749556 10562019 14082692 21124038 31686057 42248076 45768749 63372114 91537498 126744228 137306247 183074996 274612494 411918741 549224988 594993737 823837482 1189987474 1647674964 1784981211 2379974948 3569962422 5354943633 7139924844 10709887266 21419774532