Search a number
-
+
13368182016 = 283717146273
BaseRepresentation
bin11000111001100111…
…00100010100000000
31021111122121000020110
430130303210110000
5204334223311031
610050302311320
7652163446410
oct143463442400
937448530213
1013368182016
11573aa99012
122710b88540
131350752997
1490b60a640
1553392cc46
hex31cce4500

13368182016 has 144 divisors (see below), whose sum is σ = 43053704064. Its totient is φ = 3594780672.

The previous prime is 13368181993. The next prime is 13368182041. The reversal of 13368182016 is 61028186331.

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 15 ways as a sum of consecutive naturals, for example, 18256 + ... + 164528.

It is an arithmetic number, because the mean of its divisors is an integer number (298984056).

Almost surely, 213368182016 is an apocalyptic number.

13368182016 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 13368182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526852032).

13368182016 is an abundant number, since it is smaller than the sum of its proper divisors (29685522048).

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

13368182016 is a wasteful number, since it uses less digits than its factorization.

13368182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146316 (or 146302 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 13368182016 in words is "thirteen billion, three hundred sixty-eight million, one hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 30464 45696 91392 146273 292546 438819 585092 877638 1023911 1170184 1755276 2047822 2340368 2486641 3071733 3510552 4095644 4680736 4973282 6143466 7021104 7459923 8191288 9361472 9946564 12286932 14042208 14919846 16382576 17406487 18722944 19893128 24573864 28084416 29839692 32765152 34812974 37445888 39786256 49147728 52219461 56168832 59679384 65530304 69625948 79572512 98295456 104438922 112337664 119358768 131060608 139251896 159145024 196590912 208877844 238717536 262121216 278503792 318290048 393181824 417755688 477435072 557007584 636580096 786363648 835511376 954870144 1114015168 1671022752 1909740288 2228030336 3342045504 4456060672 6684091008 13368182016