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22609516319 = 135940972073
BaseRepresentation
bin10101000011101000…
…011101011100011111
32011100200210102200022
4111003220131130133
5332301014010234
614215304222355
71430166501125
oct250350353437
964320712608
1022609516319
119652534285
12446ba6a9bb
132194200230
141146ac3915
158c4dcae2e
hex543a1d71f

22609516319 has 16 divisors (see below), whose sum is σ = 24822285600. Its totient is φ = 20466141696.

The previous prime is 22609516253. The next prime is 22609516339. The reversal of 22609516319 is 91361590622.

It is not a de Polignac number, because 22609516319 - 28 = 22609516063 is a prime.

It is a super-2 number, since 2×226095163192 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22609516319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22609516339) 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, 277667 + ... + 349739.

It is an arithmetic number, because the mean of its divisors is an integer number (1551392850).

Almost surely, 222609516319 is an apocalyptic number.

22609516319 is a deficient number, since it is larger than the sum of its proper divisors (2212769281).

22609516319 is a wasteful number, since it uses less digits than its factorization.

22609516319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72554.

The product of its (nonzero) digits is 174960, while the sum is 44.

The spelling of 22609516319 in words is "twenty-two billion, six hundred nine million, five hundred sixteen thousand, three hundred nineteen".

Divisors: 1 13 59 409 767 5317 24131 72073 313703 936949 4252307 29477857 55279991 383212141 1739193563 22609516319