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16101740682 = 234612416761
BaseRepresentation
bin11101111111011110…
…10001000010001010
31112120011021011210000
432333233101002022
5230434021200212
611221432103430
71110005352246
oct167757210212
945504234700
1016101740682
116913016105
123154534b76
131697b89111
14aca697426
156438e11dc
hex3bfbd108a

16101740682 has 80 divisors (see below), whose sum is σ = 36828908424. Its totient is φ = 5256576000.

The previous prime is 16101740671. The next prime is 16101740687. The reversal of 16101740682 is 28604710161.

It is a happy number.

16101740682 is a `hidden beast` number, since 161 + 0 + 17 + 406 + 82 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13623791841 + 2477948841 = 116721^2 + 49779^2 .

It is not an unprimeable number, because it can be changed into a prime (16101740687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2378182 + ... + 2384942.

Almost surely, 216101740682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16101740682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414454212).

16101740682 is an abundant number, since it is smaller than the sum of its proper divisors (20727167742).

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

16101740682 is a wasteful number, since it uses less digits than its factorization.

16101740682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7068 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16101740682 in words is "sixteen billion, one hundred one million, seven hundred forty thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 241 366 482 549 723 1098 1446 1647 2169 3294 4338 4941 6507 6761 9882 13014 13522 14701 19521 20283 29402 39042 40566 44103 60849 88206 121698 132309 182547 264618 365094 396927 412421 547641 793854 824842 1095282 1190781 1237263 1629401 2381562 2474526 3258802 3711789 4888203 7423578 9776406 11135367 14664609 22270734 29329218 33406101 43993827 66812202 87987654 99393461 131981481 198786922 263962962 298180383 596360766 894541149 1789082298 2683623447 5367246894 8050870341 16101740682