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465214560240232 = 231131586729066507
BaseRepresentation
bin110100111000111000011010…
…0100110111000001001101000
32021000012002002120201021201101
41221301300310212320021220
5441434033404410141412
64325232341340331144
7166663433325530215
oct15161606446701150
92230162076637641
10465214560240232
11125260429156450
1244215846b43ab4
1316c77710ba5a1a
1482c470d478b0c
1538bb471c72457
hex1a71c349b8268

465214560240232 has 64 divisors (see below), whose sum is σ = 982438669117440. Its totient is φ = 204604949035200.

The previous prime is 465214560240203. The next prime is 465214560240233. The reversal of 465214560240232 is 232042065412564.

It is not an unprimeable number, because it can be changed into a prime (465214560240233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471923 + ... + 30538429.

It is an arithmetic number, because the mean of its divisors is an integer number (15350604204960).

Almost surely, 2465214560240232 is an apocalyptic number.

It is an amenable number.

465214560240232 is an abundant number, since it is smaller than the sum of its proper divisors (517224108877208).

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

465214560240232 is a wasteful number, since it uses less digits than its factorization.

465214560240232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072422 (or 29072418 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 465214560240232 in words is "four hundred sixty-five trillion, two hundred fourteen billion, five hundred sixty million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 2728 5867 11734 23468 46936 64537 129074 181877 258148 363754 516296 727508 1455016 2000647 4001294 8002588 16005176 29066507 58133014 116266028 232532056 319731577 639463154 901061717 1278926308 1802123434 2557852616 3604246868 7208493736 9911678887 19823357774 39646715548 79293431096 170533196569 341066393138 682132786276 1364265572552 1875865162259 3751730324518 5286529093639 7503460649036 10573058187278 15006921298072 21146116374556 42292232749112 58151820030029 116303640060058 232607280120116 465214560240232