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5116015674 = 2337113133931
BaseRepresentation
bin1001100001111000…
…00011010000111010
3111012112200112011000
410300330003100322
540434200000144
62203353545430
7240531262410
oct46074032072
914175615130
105116015674
112195948330
12ba9415276
13636bbc113
143676612b0
151ee221769
hex130f0343a

5116015674 has 128 divisors (see below), whose sum is σ = 14223144960. Its totient is φ = 1324252800.

The previous prime is 5116015673. The next prime is 5116015699. The reversal of 5116015674 is 4765106115.

It is a happy number.

5116015674 is a `hidden beast` number, since 511 + 60 + 15 + 6 + 74 = 666.

It is a super-2 number, since 2×51160156742 = 52347232753227348552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5116015673) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299489 + ... + 1303419.

It is an arithmetic number, because the mean of its divisors is an integer number (111118320).

Almost surely, 25116015674 is an apocalyptic number.

5116015674 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5116015674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111572480).

5116015674 is an abundant number, since it is smaller than the sum of its proper divisors (9107129286).

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

5116015674 is a wasteful number, since it uses less digits than its factorization.

5116015674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5116015674 is about 71526.3285371198. The cubic root of 5116015674 is about 1723.1005542253.

The spelling of 5116015674 in words is "five billion, one hundred sixteen million, fifteen thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 313 378 462 594 626 693 939 1386 1878 2079 2191 2817 3443 3931 4158 4382 5634 6573 6886 7862 8451 10329 11793 13146 16902 19719 20658 23586 24101 27517 30987 35379 39438 43241 48202 55034 59157 61974 70758 72303 82551 86482 92961 106137 118314 129723 144606 165102 185922 212274 216909 247653 259446 302687 389169 433818 495306 605374 650727 742959 778338 908061 1167507 1230403 1301454 1485918 1816122 2335014 2460806 2724183 3691209 5448366 7382418 8172549 8612821 11073627 13534433 16345098 17225642 22147254 25838463 27068866 33220881 40603299 51676926 66441762 77515389 81206598 94741031 121809897 155030778 189482062 232546167 243619794 284223093 365429691 465092334 568446186 730859382 852669279 1705338558 2558007837 5116015674