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22626240000448 = 267172970882353
BaseRepresentation
bin1010010010100000101001…
…11111110111000111000000
32222010001021120100112202111
411021100110333313013000
510431202014420003243
6120042203503425104
74523456214504010
oct511202477670700
988101246315674
1022626240000448
1172338096850a7
122655149bb5194
13c8185089a096
14583189cbbc40
1529386169139d
hex149414ff71c0

22626240000448 has 56 divisors (see below), whose sum is σ = 54331496489952. Its totient is φ = 9126550585344.

The previous prime is 22626240000443. The next prime is 22626240000449. The reversal of 22626240000448 is 84400004262622.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×226262400004482 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22626240000448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22626240000443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1485433561 + ... + 1485448792.

Almost surely, 222626240000448 is an apocalyptic number.

22626240000448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22626240000448 is an abundant number, since it is smaller than the sum of its proper divisors (31705256489504).

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

22626240000448 is a wasteful number, since it uses less digits than its factorization.

22626240000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970882389 (or 2970882379 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 40.

The spelling of 22626240000448 in words is "twenty-two trillion, six hundred twenty-six billion, two hundred forty million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 2970882353 5941764706 11883529412 20796176471 23767058824 41592352942 47534117648 50505000001 83184705884 95068235296 101010000002 166369411768 190136470592 202020000004 332738823536 353535000007 404040000008 665477647072 707070000014 808080000016 1330955294144 1414140000028 1616160000032 2828280000056 3232320000064 5656560000112 11313120000224 22626240000448