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643431505134345 = 35478629105767621
BaseRepresentation
bin1001001001001100101001001…
…0010011010000001100001001
310010101012110011220010111000020
42102103022102103100030021
51133313440210303244340
610200244204112531053
7252346251342601524
oct22223122223201411
93111173156114006
10643431505134345
111770208504728a4
12601b9405250a89
132180443b3a6935
14b4c6372ac9bbb
154e5c1e3d619d0
hex24932924d0309

643431505134345 has 32 divisors (see below), whose sum is σ = 1051516313694720. Its totient is φ = 335823193332480.

The previous prime is 643431505134269. The next prime is 643431505134361. The reversal of 643431505134345 is 543431505134346.

It is not a de Polignac number, because 643431505134345 - 236 = 643362785657609 is a prime.

It is a Curzon number.

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, 46800366 + ... + 58967255.

It is an arithmetic number, because the mean of its divisors is an integer number (32859884802960).

Almost surely, 2643431505134345 is an apocalyptic number.

It is an amenable number.

643431505134345 is a deficient number, since it is larger than the sum of its proper divisors (408084808560375).

643431505134345 is a wasteful number, since it uses less digits than its factorization.

643431505134345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105776305.

The product of its (nonzero) digits is 15552000, while the sum is 51.

Subtracting from 643431505134345 its reverse (543431505134346), we obtain a palindrome (99999999999999).

The spelling of 643431505134345 in words is "six hundred forty-three trillion, four hundred thirty-one billion, five hundred five million, one hundred thirty-four thousand, three hundred forty-five".

Divisors: 1 3 5 15 47 141 235 705 8629 25887 43145 129435 405563 1216689 2027815 6083445 105767621 317302863 528838105 1586514315 4971078187 14913234561 24855390935 74566172805 912668801609 2738006404827 4563344008045 13690032024135 42895433675623 128686301026869 214477168378115 643431505134345