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22048768552031 = 1324158671199521
BaseRepresentation
bin1010000001101101000010…
…00001000110110001011111
32220001211201120221111012122
411000312201001012301133
510342221334222131111
6114521021530253155
74433654016255254
oct500664101066137
986054646844178
1022048768552031
117030915045881
122581247b871bb
13c3c261432590
14563247a8342b
15283814559cdb
hex140da1046c5f

22048768552031 has 16 divisors (see below), whose sum is σ = 23847437785248. Its totient is φ = 20264786841600.

The previous prime is 22048768551989. The next prime is 22048768552039. The reversal of 22048768552031 is 13025586784022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22048768552031 - 26 = 22048768551967 is a prime.

It is a super-2 number, since 2×220487685520312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22048768552039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17781551 + ... + 18981071.

It is an arithmetic number, because the mean of its divisors is an integer number (1490464861578).

Almost surely, 222048768552031 is an apocalyptic number.

22048768552031 is a deficient number, since it is larger than the sum of its proper divisors (1798669233217).

22048768552031 is a wasteful number, since it uses less digits than its factorization.

22048768552031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205642.

The product of its (nonzero) digits is 6451200, while the sum is 53.

The spelling of 22048768552031 in words is "twenty-two trillion, forty-eight billion, seven hundred sixty-eight million, five hundred fifty-two thousand, thirty-one".

Divisors: 1 13 241 3133 5867 76271 1199521 1413947 15593773 18381311 289084561 3758099293 7037589707 91488666191 1696059119387 22048768552031