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46224611642264 = 23111373382578061
BaseRepresentation
bin10101000001010100000011…
…00011101000101110011000
320001200000210122220012212012
422200222001203220232120
522024321001040023024
6242151143214205052
712510421653031046
oct1240520143505630
9201600718805765
1046224611642264
1113801825220840
125226780ab3788
131ca3c67b86853
14b5b3d6d1d396
1555261cb8750e
hex2a0a818e8b98

46224611642264 has 32 divisors (see below), whose sum is σ = 94619206293840. Its totient is φ = 20995883932800.

The previous prime is 46224611642257. The next prime is 46224611642269.

It is a happy number.

46224611642264 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×462246116422642 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46224611642269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191168207 + ... + 191409854.

Almost surely, 246224611642264 is an apocalyptic number.

46224611642264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46224611642264 is an abundant number, since it is smaller than the sum of its proper divisors (48394594651576).

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

46224611642264 is a wasteful number, since it uses less digits than its factorization.

46224611642264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382579451 (or 382579447 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 50.

The spelling of 46224611642264 in words is "forty-six trillion, two hundred twenty-four billion, six hundred eleven million, six hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 1373 2746 5492 10984 15103 30206 60412 120824 382578061 765156122 1530312244 3060624488 4208358671 8416717342 16833434684 33666869368 525279677753 1050559355506 2101118711012 4202237422024 5778076455283 11556152910566 23112305821132 46224611642264