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465218830344 = 23367691141863
BaseRepresentation
bin1101100010100010011…
…01000000000000001000
31122110210220022020002210
412301101031000000020
530110232010032334
6553415114025120
745416361545352
oct6612115000010
91573726266083
10465218830344
1116a3309a0994
12761b4a181a0
1334b40375308
1418733bdc0d2
15c17c3cb5e9
hex6c51340008

465218830344 has 64 divisors (see below), whose sum is σ = 1180604989440. Its totient is φ = 152732669760.

The previous prime is 465218830327. The next prime is 465218830369. The reversal of 465218830344 is 443038812564.

It is a junction number, because it is equal to n+sod(n) for n = 465218830293 and 465218830302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11091957 + ... + 11133819.

It is an arithmetic number, because the mean of its divisors is an integer number (18446952960).

Almost surely, 2465218830344 is an apocalyptic number.

It is an amenable number.

465218830344 is an abundant number, since it is smaller than the sum of its proper divisors (715386159096).

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

465218830344 is a wasteful number, since it uses less digits than its factorization.

465218830344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48850 (or 48846 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 465218830344 in words is "four hundred sixty-five billion, two hundred eighteen million, eight hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 6911 13822 20733 27644 41466 41863 55288 82932 83726 125589 165864 167452 251178 334904 463037 502356 926074 1004712 1389111 1852148 2778222 2804821 3704296 5556444 5609642 8414463 11112888 11219284 16828926 22438568 33657852 67315704 289315193 578630386 867945579 1157260772 1735891158 2314521544 3471782316 6943564632 19384117931 38768235862 58152353793 77536471724 116304707586 155072943448 232609415172 465218830344