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195116244336 = 24331351076803
BaseRepresentation
bin1011010110110111010…
…1011001110101110000
3200122121222122012012000
42311231311121311300
511144044224304321
6225345110134000
720045106466206
oct2655565316560
9618558565160
10195116244336
11758260402a2
1231994051300
13155265a0c20
14962d63d076
15511e830826
hex2d6dd59d70

195116244336 has 160 divisors (see below), whose sum is σ = 603343883520. Its totient is φ = 60015188736.

The previous prime is 195116244319. The next prime is 195116244347. The reversal of 195116244336 is 633442611591.

195116244336 is a `hidden beast` number, since 1 + 9 + 5 + 11 + 624 + 4 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 195116244291 and 195116244300.

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, 28677511 + ... + 28684313.

It is an arithmetic number, because the mean of its divisors is an integer number (3770899272).

Almost surely, 2195116244336 is an apocalyptic number.

195116244336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195116244336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301671941760).

195116244336 is an abundant number, since it is smaller than the sum of its proper divisors (408227639184).

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

195116244336 is a wasteful number, since it uses less digits than its factorization.

195116244336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11940 (or 11928 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 195116244336 in words is "one hundred ninety-five billion, one hundred sixteen million, two hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5107 5616 6803 10214 13606 15321 20409 20428 27212 30642 40818 40856 45963 54424 61227 61284 66391 81636 81712 88439 91926 108848 122454 122568 132782 137889 163272 176878 183681 183852 199173 244908 245136 265317 265564 275778 326544 353756 367362 367704 398346 489816 530634 531128 551556 597519 707512 734724 735408 795951 796692 979632 1061268 1062256 1103112 1195038 1415024 1469448 1591902 1593384 1792557 2122536 2206224 2387853 2390076 2938896 3183804 3186768 3585114 4245072 4775706 4780152 6367608 7170228 9551412 9560304 12735216 14340456 19102824 28680912 34742921 38205648 69485842 104228763 138971684 208457526 277943368 312686289 416915052 451657973 555886736 625372578 833830104 903315946 938058867 1250745156 1354973919 1667660208 1806631892 1876117734 2501490312 2709947838 3613263784 3752235468 4064921757 5002980624 5419895676 7226527568 7504470936 8129843514 10839791352 12194765271 15008941872 16259687028 21679582704 24389530542 32519374056 48779061084 65038748112 97558122168 195116244336