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21319796169 = 32721724092
BaseRepresentation
bin10011110110110000…
…100100010111001001
32001000210221212020100
4103312300210113021
5322130331434134
613443313120013
71353216164100
oct236660442711
961023855210
1021319796169
119050518461
12416bb59009
132019c54309
1410636bb037
1584ba6b999
hex4f6c245c9

21319796169 has 81 divisors (see below), whose sum is σ = 38147522517. Its totient is φ = 11438074368.

The previous prime is 21319796167. The next prime is 21319796209. The reversal of 21319796169 is 96169791312.

The square root of 21319796169 is 146013.

It is a perfect power (a square), and thus also a powerful number.

21319796169 is a `hidden beast` number, since 2 + 1 + 3 + 19 + 7 + 9 + 616 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10610030025 + 10709766144 = 103005^2 + 103488^2 .

It is not a de Polignac number, because 21319796169 - 21 = 21319796167 is a prime.

It is a super-2 number, since 2×213197961692 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21319796167) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 52126437 + ... + 52126845.

Almost surely, 221319796169 is an apocalyptic number.

21319796169 is the 146013-rd square number.

21319796169 is the 73007-th centered octagonal number.

It is an amenable number.

21319796169 is a deficient number, since it is larger than the sum of its proper divisors (16827726348).

21319796169 is an equidigital number, since it uses as much as digits as its factorization.

21319796169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The spelling of 21319796169 in words is "twenty-one billion, three hundred nineteen million, seven hundred ninety-six thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 409 441 833 867 1071 1227 2023 2499 2601 2863 3681 6069 6953 7497 8589 14161 18207 20041 20859 25767 42483 48671 60123 62577 118201 127449 146013 167281 180369 340697 354603 438039 501843 827407 1022091 1063809 1170967 1505529 2482221 2843777 3066273 3512901 5791849 7446663 8196769 8531331 10538703 17375547 19906439 24590307 25593993 48344209 52126641 59719317 73770921 139345073 145032627 179157951 338409463 418035219 435097881 1015228389 1254105657 2368866241 3045685167 7106598723 21319796169