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22768416965 = 5717192014013
BaseRepresentation
bin10101001101000110…
…100111100011000101
32011202202210102101102
4111031012213203011
5333112203320330
614243142105445
71434136231250
oct251506474305
964682712342
1022768416965
1197241a5728
1244b511b285
1321bb0c7498
14115dc48097
158d3d17945
hex54d1a78c5

22768416965 has 32 divisors (see below), whose sum is σ = 34802161920. Its totient is φ = 13920850944.

The previous prime is 22768416949. The next prime is 22768417019. The reversal of 22768416965 is 56961486722.

It is not a de Polignac number, because 22768416965 - 24 = 22768416949 is a prime.

It is a super-2 number, since 2×227684169652 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22768416965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995702 + ... + 1018311.

It is an arithmetic number, because the mean of its divisors is an integer number (1087567560).

Almost surely, 222768416965 is an apocalyptic number.

It is an amenable number.

22768416965 is a deficient number, since it is larger than the sum of its proper divisors (12033744955).

22768416965 is a wasteful number, since it uses less digits than its factorization.

22768416965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014061.

The product of its digits is 8709120, while the sum is 56.

The spelling of 22768416965 in words is "twenty-two billion, seven hundred sixty-eight million, four hundred sixteen thousand, nine hundred sixty-five".

Divisors: 1 5 7 17 19 35 85 95 119 133 323 595 665 1615 2261 11305 2014013 10070065 14098091 34238221 38266247 70490455 171191105 191331235 239667547 267863729 650526199 1198337735 1339318645 3252630995 4553683393 22768416965