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46434322343464 = 231116729310783813
BaseRepresentation
bin10101000111011010101010…
…10010011110011000101000
320002102002002202120122010121
422203231111102132120220
522041234443004442324
6242431344434253024
712531524536420216
oct1243552522363050
9202362082518117
1046434322343464
111388275a471530
12525b348727174
131cba978c71163
14b6760c977cb6
15557ce38c15e4
hex2a3b5549e628

46434322343464 has 64 divisors (see below), whose sum is σ = 95874145395840. Its totient is φ = 20908517410560.

The previous prime is 46434322343429. The next prime is 46434322343501.

46434322343464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464343223434642 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085979 + ... + 9697834.

It is an arithmetic number, because the mean of its divisors is an integer number (1498033521810).

Almost surely, 246434322343464 is an apocalyptic number.

46434322343464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46434322343464 is an abundant number, since it is smaller than the sum of its proper divisors (49439823052376).

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

46434322343464 is a wasteful number, since it uses less digits than its factorization.

46434322343464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10784290 (or 10784286 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 52.

It can be divided in two parts, 4643432 and 2343464, that added together give a palindrome (6986896).

The spelling of 46434322343464 in words is "forty-six trillion, four hundred thirty-four billion, three hundred twenty-two million, three hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 167 293 334 586 668 1172 1336 1837 2344 3223 3674 6446 7348 12892 14696 25784 48931 97862 195724 391448 538241 1076482 2152964 4305928 10783813 21567626 43135252 86270504 118621943 237243886 474487772 948975544 1800896771 3159657209 3601793542 6319314418 7203587084 12638628836 14407174168 19809864481 25277257672 34756229299 39619728962 69512458598 79239457924 139024917196 158478915848 278049834392 527662753903 1055325507806 2110651015612 4221302031224 5804290292933 11608580585866 23217161171732 46434322343464