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465149941564 = 227111510227083
BaseRepresentation
bin1101100010011010001…
…10001101011100111100
31122110122002200022110111
412301031012031130330
530110111341112224
6553404213315404
745414564160420
oct6611506153474
91573562608414
10465149941564
1116a2a6019810
1276195935b64
1334b2c005519
14187289c8b80
15c17631ed94
hex6c4d18d73c

465149941564 has 24 divisors (see below), whose sum is σ = 1014872600448. Its totient is φ = 181227249840.

The previous prime is 465149941541. The next prime is 465149941579.

465149941564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4651499415642 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465149941499 and 465149941508.

It is a congruent number.

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, 755113234 + ... + 755113849.

It is an arithmetic number, because the mean of its divisors is an integer number (42286358352).

Almost surely, 2465149941564 is an apocalyptic number.

465149941564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465149941564 is an abundant number, since it is smaller than the sum of its proper divisors (549722658884).

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

465149941564 is a wasteful number, since it uses less digits than its factorization.

465149941564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510227105 (or 1510227103 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The spelling of 465149941564 in words is "four hundred sixty-five billion, one hundred forty-nine million, nine hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 1510227083 3020454166 6040908332 10571589581 16612497913 21143179162 33224995826 42286358324 66449991652 116287485391 232574970782 465149941564