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465530022132 = 223759964314389
BaseRepresentation
bin1101100011000111100…
…00000110100011110100
31122111121120212101222120
412301203300012203310
530111401141202012
6553510031555540
745430160620140
oct6614360064364
91574546771876
10465530022132
1116a48061998a
127628108bbb0
1334b8c991276
1418763286220
15c19989b58c
hex6c63c068f4

465530022132 has 96 divisors (see below), whose sum is σ = 1245506304000. Its totient is φ = 132570801792.

The previous prime is 465530022079. The next prime is 465530022149. The reversal of 465530022132 is 231220035564.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 465530022093 and 465530022102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32345994 + ... + 32360382.

It is an arithmetic number, because the mean of its divisors is an integer number (12974024000).

Almost surely, 2465530022132 is an apocalyptic number.

465530022132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

465530022132 is an abundant number, since it is smaller than the sum of its proper divisors (779976281868).

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

465530022132 is a wasteful number, since it uses less digits than its factorization.

465530022132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15645 (or 15643 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 465530022132 its reverse (231220035564), we get a palindrome (696750057696).

The spelling of 465530022132 in words is "four hundred sixty-five billion, five hundred thirty million, twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 599 643 1198 1286 1797 1929 2396 2572 3594 3858 4193 4501 7188 7716 8386 9002 12579 13503 14389 16772 18004 25158 27006 28778 43167 50316 54012 57556 86334 100723 172668 201446 302169 385157 402892 604338 770314 1155471 1208676 1540628 2310942 2696099 4621884 5392198 8088297 8619011 9252127 10784396 16176594 17238022 18504254 25857033 27756381 32353188 34476044 37008508 51714066 55512762 60333077 64764889 103428132 111025524 120666154 129529778 180999231 194294667 241332308 259059556 361998462 388589334 723996924 777178668 5542024073 11084048146 16626072219 22168096292 33252144438 38794168511 66504288876 77588337022 116382505533 155176674044 232765011066 465530022132