Search a number
-
+
12116506365 = 3353713118517
BaseRepresentation
bin10110100100011001…
…10011011011111101
31011021102100022001000
423102030303123331
5144303311200430
65322150440513
7606154414305
oct132214633375
934242308030
1012116506365
1151584a7627
122421963139
1311b13374c2
1482d2a8605
154adad5e60
hex2d23336fd

12116506365 has 64 divisors (see below), whose sum is σ = 22292709120. Its totient is φ = 6239151360.

The previous prime is 12116506343. The next prime is 12116506387. The reversal of 12116506365 is 56360561121.

12116506365 is a `hidden beast` number, since 1 + 2 + 1 + 16 + 5 + 0 + 636 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (12116506343) and next prime (12116506387).

It is not a de Polignac number, because 12116506365 - 216 = 12116440829 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645087 + ... + 663603.

It is an arithmetic number, because the mean of its divisors is an integer number (348323580).

Almost surely, 212116506365 is an apocalyptic number.

12116506365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12116506365 is a deficient number, since it is larger than the sum of its proper divisors (10176202755).

12116506365 is a wasteful number, since it uses less digits than its factorization.

12116506365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18699 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12116506365 in words is "twelve billion, one hundred sixteen million, five hundred six thousand, three hundred sixty-five".

Divisors: 1 3 5 9 15 27 37 45 111 131 135 185 333 393 555 655 999 1179 1665 1965 3537 4847 4995 5895 14541 17685 18517 24235 43623 55551 72705 92585 130869 166653 218115 277755 499959 654345 685129 833265 2055387 2425727 2499795 3425645 6166161 7277181 10276935 12128635 18498483 21831543 30830805 36385905 65494629 89751899 92492415 109157715 269255697 327473145 448759495 807767091 1346278485 2423301273 4038835455 12116506365