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22064444444042 = 27111341268809781
BaseRepresentation
bin1010000010001010001110…
…10111111000110110001010
32220010100012001220022102122
411001011013113320312022
510343000440234202132
6114532133231131242
74435050334200320
oct501050727706612
986110161808378
1022064444444042
117037529740530
1225842a1973b22
13c4088bcc9820
14563cd3967d10
15283e3087d912
hex1411475f8d8a

22064444444042 has 64 divisors (see below), whose sum is σ = 45521323723008. Its totient is φ = 7741721664000.

The previous prime is 22064444444023. The next prime is 22064444444137. The reversal of 22064444444042 is 24044444446022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22064444443984 and 22064444444002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134322809 + ... + 134486972.

It is an arithmetic number, because the mean of its divisors is an integer number (711270683172).

Almost surely, 222064444444042 is an apocalyptic number.

22064444444042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22064444444042 is an abundant number, since it is smaller than the sum of its proper divisors (23456879278966).

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

22064444444042 is a wasteful number, since it uses less digits than its factorization.

22064444444042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268809855.

The product of its (nonzero) digits is 3145728, while the sum is 44.

The spelling of 22064444444042 in words is "twenty-two trillion, sixty-four billion, four hundred forty-four million, four hundred forty-four thousand, forty-two".

Divisors: 1 2 7 11 13 14 22 26 41 77 82 91 143 154 182 286 287 451 533 574 902 1001 1066 2002 3157 3731 5863 6314 7462 11726 41041 82082 268809781 537619562 1881668467 2956907591 3494527153 3763336934 5913815182 6989054306 11021201021 20698353137 22042402042 24461690071 38439798683 41396706274 48923380142 76879597366 77148407147 121233211231 143275613273 154296814294 242466422462 269078590781 286551226546 538157181562 848632478617 1002929292911 1576031746003 1697264957234 2005858585822 3152063492006 11032222222021 22064444444042