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21626344362612 = 223111016172629073
BaseRepresentation
bin1001110101011010001101…
…00100101101001001110100
32211120110101010022021020210
410322231012210231021310
510313311223124100422
6113555001102025420
74361310655015563
oct472550644551164
984513333267223
1021626344362612
116988754660030
1225133b6b78270
13c0b481111702
1454aa1367dbda
1527783e19210c
hex13ab4692d274

21626344362612 has 96 divisors (see below), whose sum is σ = 55684039711104. Its totient is φ = 6478033408000.

The previous prime is 21626344362593. The next prime is 21626344362629.

21626344362612 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 6911308 + ... + 9540380.

It is an arithmetic number, because the mean of its divisors is an integer number (580042080324).

Almost surely, 221626344362612 is an apocalyptic number.

21626344362612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21626344362612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27842019855552).

21626344362612 is an abundant number, since it is smaller than the sum of its proper divisors (34057695348492).

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

21626344362612 is a wasteful number, since it uses less digits than its factorization.

21626344362612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629809 (or 2629807 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 21626344362612 in words is "twenty-one trillion, six hundred twenty-six billion, three hundred forty-four million, three hundred sixty-two thousand, six hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 617 1111 1212 1234 1851 2222 2468 3333 3702 4444 6666 6787 7404 13332 13574 20361 27148 40722 62317 81444 124634 186951 249268 373902 685487 747804 1370974 2056461 2629073 2741948 4112922 5258146 7887219 8225844 10516292 15774438 28919803 31548876 57839606 86759409 115679212 173518818 265536373 347037636 531072746 796609119 1062145492 1593218238 1622138041 2920900103 3186436476 3244276082 4866414123 5841800206 6488552164 8762700309 9732828246 11683600412 17525400618 17843518451 19465656492 35050801236 35687036902 53530555353 71374073804 107061110706 163835942141 214122221412 327671884282 491507826423 655343768564 983015652846 1802195363551 1966031305692 3604390727102 5406586090653 7208781454204 10813172181306 21626344362612