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465227985321 = 331137113374653
BaseRepresentation
bin1101100010100011011…
…11111011000110101001
31122110211112112100101000
412301101233323012221
530110241331012241
6553420042145213
745416532425301
oct6612157730651
91573745470330
10465227985321
1116a336084190
12761b7ab2209
1334b4222c368
1418735102601
15c17d0d8eb6
hex6c51bfb1a9

465227985321 has 64 divisors (see below), whose sum is σ = 779040541440. Its totient is φ = 271907435520.

The previous prime is 465227985293. The next prime is 465227985349. The reversal of 465227985321 is 123589722564.

465227985321 is a `hidden beast` number, since 4 + 6 + 5 + 227 + 98 + 5 + 321 = 666.

It is an interprime number because it is at equal distance from previous prime (465227985293) and next prime (465227985349).

It is not a de Polignac number, because 465227985321 - 214 = 465227968937 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (465227983321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054431 + ... + 1429083.

It is an arithmetic number, because the mean of its divisors is an integer number (12172508460).

Almost surely, 2465227985321 is an apocalyptic number.

It is an amenable number.

465227985321 is a deficient number, since it is larger than the sum of its proper divisors (313812556119).

465227985321 is a wasteful number, since it uses less digits than its factorization.

465227985321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374823 (or 374817 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 465227985321 in words is "four hundred sixty-five billion, two hundred twenty-seven million, nine hundred eighty-five thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 37 99 111 113 297 333 339 407 999 1017 1221 1243 3051 3663 3729 4181 10989 11187 12543 33561 37629 45991 112887 137973 374653 413919 1123959 1241757 3371877 4121183 10115631 12363549 13862161 37090647 41586483 42335789 111271941 124759449 127007367 152483771 374278347 381022101 457451313 465693679 1143066303 1372353939 1397081037 1566424193 4117061817 4191243111 4699272579 12573729333 14097817737 17230666123 42293453211 51691998369 155075995107 465227985321