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3116460366 = 2331712726731
BaseRepresentation
bin1011100111000001…
…0110100101001110
322001012011120221000
42321300112211032
522340303212431
61233124321130
7140141322165
oct27160264516
98035146830
103116460366
11135a184888
1272b8431a6
133a886c2b6
14217c803dc
151338ea9e6
hexb9c1694e

3116460366 has 64 divisors (see below), whose sum is σ = 7390863360. Its totient is φ = 969978240.

The previous prime is 3116460289. The next prime is 3116460377. The reversal of 3116460366 is 6630646113.

3116460366 is a `hidden beast` number, since 3 + 1 + 1 + 646 + 0 + 3 + 6 + 6 = 666.

3116460366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3116460366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103221 + ... + 129951.

It is an arithmetic number, because the mean of its divisors is an integer number (115482240).

Almost surely, 23116460366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3116460366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695431680).

3116460366 is an abundant number, since it is smaller than the sum of its proper divisors (4274402994).

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

3116460366 is a wasteful number, since it uses less digits than its factorization.

3116460366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26886 (or 26880 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3116460366 is about 55825.2663764357. The cubic root of 3116460366 is about 1460.6759186555.

The spelling of 3116460366 in words is "three billion, one hundred sixteen million, four hundred sixty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 127 153 254 306 381 459 762 918 1143 2159 2286 3429 4318 6477 6858 12954 19431 26731 38862 53462 58293 80193 116586 160386 240579 454427 481158 721737 908854 1363281 1443474 2726562 3394837 4089843 6789674 8179686 10184511 12269529 20369022 24539058 30553533 57712229 61107066 91660599 115424458 173136687 183321198 346273374 519410061 1038820122 1558230183 3116460366