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643434484434346 = 21131013567767079
BaseRepresentation
bin1001001001001100110100001…
…1111000011000010110101010
310010101012201212112012121021201
42102103031003320120112222
51133314012311003344341
610200245415501354414
7252346415230331413
oct22223150370302652
93111181775177251
10643434484434346
1117702203a185000
12601b9ab6b68a0a
13218047c46c1247
14b4c657666480a
154e5c31a6b7331
hex2493343e185aa

643434484434346 has 64 divisors (see below), whose sum is σ = 1072151255036160. Its totient is φ = 289562042088000.

The previous prime is 643434484434337. The next prime is 643434484434361.

643434484434346 is nontrivially palindromic in base 10.

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, 9592156035 + ... + 9592223113.

It is an arithmetic number, because the mean of its divisors is an integer number (16752363359940).

Almost surely, 2643434484434346 is an apocalyptic number.

643434484434346 is a deficient number, since it is larger than the sum of its proper divisors (428716770601814).

643434484434346 is a wasteful number, since it uses less digits than its factorization.

643434484434346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102892 (or 102870 counting only the distinct ones).

The product of its digits is 1528823808, while the sum is 64.

The spelling of 643434484434346 in words is "six hundred forty-three trillion, four hundred thirty-four billion, four hundred eighty-four million, four hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 11 22 101 121 202 242 1111 1331 2222 2662 12221 24442 35677 67079 71354 134158 134431 268862 392447 737869 784894 1475738 3603377 4316917 6774979 7206754 8116559 8633834 13549958 16233118 39637147 47486087 74524769 79274294 89282149 94972174 149049538 178564298 436008617 819772459 872017234 1639544918 2393177483 4786354966 4796094787 9017497049 9592189574 18034994098 26324952313 52649904626 241710925783 289574475443 483421851566 579148950886 2658820183613 3185319229873 5317640367226 6370638459746 29247022019743 58494044039486 321717242217173 643434484434346