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518006412 = 2232711186871
BaseRepresentation
bin11110111000000…
…010011010001100
31100002201110012200
4132320002122030
52030102201122
6123222401500
715556660530
oct3670023214
91302643180
10518006412
11246445980
12125590290
138341ac91
144cb21bc0
15307235ac
hex1ee0268c

518006412 has 72 divisors (see below), whose sum is σ = 1632513792. Its totient is φ = 134546400.

The previous prime is 518006389. The next prime is 518006429. The reversal of 518006412 is 214600815.

518006412 is a `hidden beast` number, since 5 + 18 + 0 + 0 + 641 + 2 = 666.

It is a super-2 number, since 2×5180064122 = 536661285746227488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90664 + ... + 96207.

Almost surely, 2518006412 is an apocalyptic number.

It is an amenable number.

518006412 is an abundant number, since it is smaller than the sum of its proper divisors (1114507380).

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

518006412 is a wasteful number, since it uses less digits than its factorization.

518006412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186899 (or 186894 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 518006412 is about 22759.7542165991. The cubic root of 518006412 is about 803.1161855573.

The spelling of 518006412 in words is "five hundred eighteen million, six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 186871 373742 560613 747484 1121226 1308097 1681839 2055581 2242452 2616194 3363678 3924291 4111162 5232388 6166743 6727356 7848582 8222324 11772873 12333486 14389067 15697164 18500229 23545746 24666972 28778134 37000458 43167201 47091492 57556268 74000916 86334402 129501603 172668804 259003206 518006412