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22696673664 = 27378443703
BaseRepresentation
bin10101001000110100…
…111100000110000000
32011120202210111002010
4111020310330012000
5332440322024124
614232100252520
71432305354150
oct251064740600
964522714063
1022696673664
119697753945
1244950a1140
1321a9298322
1411544d0760
158cc895529
hex548d3c180

22696673664 has 64 divisors (see below), whose sum is σ = 68900624640. Its totient is φ = 6484763136.

The previous prime is 22696673663. The next prime is 22696673669. The reversal of 22696673664 is 46637669622.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×226966736643 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22696673663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4219164 + ... + 4224539.

It is an arithmetic number, because the mean of its divisors is an integer number (1076572260).

Almost surely, 222696673664 is an apocalyptic number.

22696673664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22696673664 is an abundant number, since it is smaller than the sum of its proper divisors (46203950976).

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

22696673664 is an equidigital number, since it uses as much as digits as its factorization.

22696673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8443727 (or 8443715 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 57.

The spelling of 22696673664 in words is "twenty-two billion, six hundred ninety-six million, six hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 8443703 16887406 25331109 33774812 50662218 59105921 67549624 101324436 118211842 135099248 177317763 202648872 236423684 270198496 354635526 405297744 472847368 540396992 709271052 810595488 945694736 1080793984 1418542104 1621190976 1891389472 2837084208 3242381952 3782778944 5674168416 7565557888 11348336832 22696673664