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42863817672 = 23321345794677
BaseRepresentation
bin100111111010111000…
…011111001111001000
311002122020211112210200
4213322320133033020
51200241114131142
631405200212200
73045130303314
oct477270371710
9132566745720
1042863817672
11171a6564705
12838300a060
134071495330
142108a84b44
1511ad12a64c
hex9fae1f3c8

42863817672 has 48 divisors (see below), whose sum is σ = 125019470940. Its totient is φ = 13188866688.

The previous prime is 42863817617. The next prime is 42863817719. The reversal of 42863817672 is 27671836824.

42863817672 is a `hidden beast` number, since 428 + 6 + 3 + 81 + 76 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36475652196 + 6388165476 = 190986^2 + 79926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22896403 + ... + 22898274.

Almost surely, 242863817672 is an apocalyptic number.

It is an amenable number.

42863817672 is an abundant number, since it is smaller than the sum of its proper divisors (82155653268).

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

42863817672 is a wasteful number, since it uses less digits than its factorization.

42863817672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45794702 (or 45794695 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 42863817672 in words is "forty-two billion, eight hundred sixty-three million, eight hundred seventeen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45794677 91589354 137384031 183178708 274768062 366357416 412152093 549536124 595330801 824304186 1099072248 1190661602 1648608372 1785992403 2381323204 3297216744 3571984806 4762646408 5357977209 7143969612 10715954418 14287939224 21431908836 42863817672