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516116536 = 231322291667
BaseRepresentation
bin11110110000110…
…101000000111000
31022222011102210021
4132300311000320
52024111212121
6123114100224
715534626635
oct3660650070
91288142707
10516116536
11245374aa1
12124a1a674
1382c08a00
144c78d18c
153049d641
hex1ec35038

516116536 has 48 divisors (see below), whose sum is σ = 1053091800. Its totient is φ = 237025152.

The previous prime is 516116501. The next prime is 516116561. The reversal of 516116536 is 635611615.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 308775 + ... + 310441.

Almost surely, 2516116536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516116536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526545900).

516116536 is an abundant number, since it is smaller than the sum of its proper divisors (536975264).

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

516116536 is a wasteful number, since it uses less digits than its factorization.

516116536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1911 counting only the distinct ones).

The product of its digits is 16200, while the sum is 34.

The square root of 516116536 is about 22718.1983440589. The cubic root of 516116536 is about 802.1383086197.

The spelling of 516116536 in words is "five hundred sixteen million, one hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 169 229 338 458 676 916 1352 1667 1832 2977 3334 5954 6668 11908 13336 21671 23816 38701 43342 77402 86684 154804 173368 281723 309608 381743 563446 763486 1126892 1526972 2253784 3053944 4962659 9925318 19850636 39701272 64514567 129029134 258058268 516116536