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643422224346 = 231117992357791
BaseRepresentation
bin10010101110011101111…
…00111111111111011010
32021111210012102121020120
421113032330333333122
541020212042134341
61211330055134110
764325413445166
oct11271674777732
92244705377216
10643422224346
11228968087420
12a4848974336
134889ca17595
14231db165ca6
1511b0beec066
hex95cef3ffda

643422224346 has 64 divisors (see below), whose sum is σ = 1486584078336. Its totient is φ = 183485561600.

The previous prime is 643422224321. The next prime is 643422224377.

643422224346 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 643422224298 and 643422224307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11104711 + ... + 11162501.

It is an arithmetic number, because the mean of its divisors is an integer number (23227876224).

Almost surely, 2643422224346 is an apocalyptic number.

643422224346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

643422224346 is an abundant number, since it is smaller than the sum of its proper divisors (843161853990).

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

643422224346 is a wasteful number, since it uses less digits than its factorization.

643422224346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67747.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 643422 and 224346, that added together give a palindrome (867768).

The spelling of 643422224346 in words is "six hundred forty-three billion, four hundred twenty-two million, two hundred twenty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 9923 19846 29769 57791 59538 109153 115582 168691 173373 218306 327459 337382 346746 506073 635701 654918 982447 1012146 1271402 1855601 1907103 1964894 2947341 3711202 3814206 5566803 5894682 10806917 11133606 21613834 32420751 64841502 573460093 1146920186 1720380279 3440760558 6308061023 9748821581 12616122046 18924183069 19497643162 29246464743 37848366138 58492929486 107237037391 214474074782 321711112173 643422224346