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466801338768 = 24369111407181
BaseRepresentation
bin1101100101011111000…
…01110010100110010000
31122121220012001222112220
412302233201302212100
530122002120320033
6554240124421040
745503525624502
oct6625741624620
91577805058486
10466801338768
1116aa73205996
12765769a7780
133503319562b
141884405bd72
15c2212c2bb3
hex6caf872990

466801338768 has 40 divisors (see below), whose sum is σ = 1206078806016. Its totient is φ = 155577820800.

The previous prime is 466801338739. The next prime is 466801338769. The reversal of 466801338768 is 867833108664.

It is not an unprimeable number, because it can be changed into a prime (466801338769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371863 + ... + 1035318.

Almost surely, 2466801338768 is an apocalyptic number.

466801338768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

466801338768 is an abundant number, since it is smaller than the sum of its proper divisors (739277467248).

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

466801338768 is a wasteful number, since it uses less digits than its factorization.

466801338768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414103 (or 1414097 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 466801338768 in words is "four hundred sixty-six billion, eight hundred one million, three hundred thirty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 6911 13822 20733 27644 41466 55288 82932 110576 165864 331728 1407181 2814362 4221543 5628724 8443086 11257448 16886172 22514896 33772344 67544688 9725027891 19450055782 29175083673 38900111564 58350167346 77800223128 116700334692 155600446256 233400669384 466801338768