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83611644611638 = 211132915764210061
BaseRepresentation
bin10011000000101101011010…
…011000000100110000110110
3101222001012021021100220201211
4103000231122120010300312
541424343122010033023
6453454354222512034
723416512332600503
oct2300553230046066
9358035237326654
1083611644611638
11247065546a54a0
1294645b673561a
13378670c962460
141690b7a47c4aa
1599ede646aa0d
hex4c0b5a604c36

83611644611638 has 64 divisors (see below), whose sum is σ = 153395269715520. Its totient is φ = 33656345049600.

The previous prime is 83611644611629. The next prime is 83611644611773.

It is a happy number.

83611644611638 is nontrivially palindromic in base 10.

83611644611638 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×836116446116382 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30802873 + ... + 33407188.

It is an arithmetic number, because the mean of its divisors is an integer number (2396801089305).

Almost surely, 283611644611638 is an apocalyptic number.

83611644611638 is a deficient number, since it is larger than the sum of its proper divisors (69783625103882).

83611644611638 is a wasteful number, since it uses less digits than its factorization.

83611644611638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64210273.

The product of its digits is 11943936, while the sum is 58.

The spelling of 83611644611638 in words is "eighty-three trillion, six hundred eleven billion, six hundred forty-four million, six hundred eleven thousand, six hundred thirty-eight".

Divisors: 1 2 11 13 22 26 29 58 143 157 286 314 319 377 638 754 1727 2041 3454 4082 4147 4553 8294 9106 22451 44902 50083 59189 100166 118378 651079 1302158 64210061 128420122 706310671 834730793 1412621342 1669461586 1862091769 3724183538 9182038723 10080979577 18364077446 20161959154 20483009459 24207192997 40966018918 48414385994 110890775347 131052734501 221781550694 262105469002 266279122967 292348407733 532558245934 584696815466 1441580079511 2883160159022 3215832485063 3800529300529 6431664970126 7601058601058 41805822305819 83611644611638