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465046425264 = 24322942307717
BaseRepresentation
bin1101100010001101110…
…11010100111010110000
31122110100212220010210110
412301012323110322300
530104403341102024
6553350034501320
745412166251551
oct6610673247260
91573325803713
10465046425264
1116a252646453
1276167134840
1334b13730385
1418718d60328
15c16c1c3629
hex6c46ed4eb0

465046425264 has 40 divisors (see below), whose sum is σ = 1206616117360. Its totient is φ = 154338547968.

The previous prime is 465046425253. The next prime is 465046425281. The reversal of 465046425264 is 462524640564.

It is a happy number.

465046425264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21142867 + ... + 21164850.

It is an arithmetic number, because the mean of its divisors is an integer number (30165402934).

Almost surely, 2465046425264 is an apocalyptic number.

It is an amenable number.

465046425264 is an abundant number, since it is smaller than the sum of its proper divisors (741569692096).

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

465046425264 is a wasteful number, since it uses less digits than its factorization.

465046425264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42307957 (or 42307951 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 465046425264 in words is "four hundred sixty-five billion, forty-six million, four hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 42307717 84615434 126923151 169230868 253846302 338461736 507692604 676923472 1015385208 2030770416 9688467193 19376934386 29065401579 38753868772 58130803158 77507737544 116261606316 155015475088 232523212632 465046425264