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22826144162822 = 27111311401670411
BaseRepresentation
bin1010011000010101000000…
…01101101110010000000110
32222211011021020022011202012
411030022200031232100012
510442440420401202242
6120314104051414222
74544064063033020
oct514124015562006
988734236264665
1022826144162822
117300571338050
122687a395b4372
13c9765b0a21b0
1458cb11373010
15298b614d4282
hex14c2a036e406

22826144162822 has 32 divisors (see below), whose sum is σ = 45971535101184. Its totient is φ = 8209202695200.

The previous prime is 22826144162819. The next prime is 22826144162851.

22826144162822 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5700833204 + ... + 5700837207.

It is an arithmetic number, because the mean of its divisors is an integer number (1436610471912).

Almost surely, 222826144162822 is an apocalyptic number.

22826144162822 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22826144162822 is an abundant number, since it is smaller than the sum of its proper divisors (23145390938362).

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

22826144162822 is a wasteful number, since it uses less digits than its factorization.

22826144162822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401670444.

The product of its digits is 2359296, while the sum is 50.

The spelling of 22826144162822 in words is "twenty-two trillion, eight hundred twenty-six billion, one hundred forty-four million, one hundred sixty-two thousand, eight hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 11401670411 22803340822 79811692877 125418374521 148221715343 159623385754 250836749042 296443430686 877928621647 1037552007401 1630438868773 1755857243294 2075104014802 3260877737546 11413072081411 22826144162822