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463134343431364 = 221123130867391591
BaseRepresentation
bin110100101001101111101111…
…0000001100000010011000100
32020201211012200200210022220021
41221103133132001200103010
5441200443113404300424
64321000551414544524
7166360231526434543
oct15123373601402304
92221735620708807
10463134343431364
11124629198a85900
1243b3a656668144
1316b564c5618797
148251b7113415a
1538822c174b4e4
hex1a537de0604c4

463134343431364 has 36 divisors (see below), whose sum is σ = 919601330308864. Its totient is φ = 203724784494000.

The previous prime is 463134343431307. The next prime is 463134343431493.

It is a happy number.

463134343431364 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4631343434313642 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15433680792 + ... + 15433710799.

Almost surely, 2463134343431364 is an apocalyptic number.

463134343431364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

463134343431364 is a deficient number, since it is larger than the sum of its proper divisors (456466986877500).

463134343431364 is a wasteful number, since it uses less digits than its factorization.

463134343431364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30867391648 (or 30867391635 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 52.

The spelling of 463134343431364 in words is "four hundred sixty-three trillion, one hundred thirty-four billion, three hundred forty-three million, four hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 11 22 31 44 62 121 124 242 341 484 682 1364 3751 7502 15004 30867391591 61734783182 123469566364 339541307501 679082615002 956889139321 1358165230004 1913778278642 3734954382511 3827556557284 7469908765022 10525780532531 14939817530044 21051561065062 42103122130124 115783585857841 231567171715682 463134343431364