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42268312832 = 28732261789
BaseRepresentation
bin100111010111011000…
…110100010100000000
311001002202021202201212
4213113120310110000
51143031142002312
631230124345252
73024306505514
oct472730642400
9131082252655
1042268312832
1116a203a7049
1282376a5228
133ca7cb17c5
14208d94c144
151175be9822
hex9d7634500

42268312832 has 36 divisors (see below), whose sum is σ = 85527327060. Its totient is φ = 20844638208.

The previous prime is 42268312811. The next prime is 42268312843. The reversal of 42268312832 is 23821386224.

It can be written as a sum of positive squares in 2 ways, for example, as 31621374976 + 10646937856 = 177824^2 + 103184^2 .

It is a super-2 number, since 2×422683128322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42268312832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1112207 + ... + 1149582.

It is an arithmetic number, because the mean of its divisors is an integer number (2375759085).

Almost surely, 242268312832 is an apocalyptic number.

It is an amenable number.

42268312832 is an abundant number, since it is smaller than the sum of its proper divisors (43259014228).

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

42268312832 is an equidigital number, since it uses as much as digits as its factorization.

42268312832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261878 (or 2261864 counting only the distinct ones).

The product of its digits is 221184, while the sum is 41.

The spelling of 42268312832 in words is "forty-two billion, two hundred sixty-eight million, three hundred twelve thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 2336 4672 9344 18688 2261789 4523578 9047156 18094312 36188624 72377248 144754496 165110597 289508992 330221194 579017984 660442388 1320884776 2641769552 5283539104 10567078208 21134156416 42268312832