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268627150242802 = 213175380914174353
BaseRepresentation
bin111101000101000010100001…
…110111100000001111110010
31022020010111121222020021022101
4331011002201313200033302
5240202141400430232202
62351153335330131014
7110403446126504401
oct7505024167401762
91266114558207271
10268627150242802
117865815324247a
12261658a9120a6a
13b6b757c224b40
144a498a2a31638
15210c91e286887
hexf450a1de03f2

268627150242802 has 64 divisors (see below), whose sum is σ = 468709600433760. Its totient is φ = 114345518137344.

The previous prime is 268627150242721. The next prime is 268627150242883. The reversal of 268627150242802 is 208242051726862.

It is a Cunningham number, because it is equal to 163898492+1.

It is an interprime number because it is at equal distance from previous prime (268627150242721) and next prime (268627150242883).

It can be written as a sum of positive squares in 16 ways, for example, as 39737755756521 + 228889394486281 = 6303789^2 + 15129091^2 .

It is a super-2 number, since 2×2686271502428022 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11864458 + ... + 26038810.

Almost surely, 2268627150242802 is an apocalyptic number.

268627150242802 is a deficient number, since it is larger than the sum of its proper divisors (200082450190958).

268627150242802 is a wasteful number, since it uses less digits than its factorization.

268627150242802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175247.

The product of its (nonzero) digits is 10321920, while the sum is 55.

The spelling of 268627150242802 in words is "two hundred sixty-eight trillion, six hundred twenty-seven billion, one hundred fifty million, two hundred forty-two thousand, eight hundred two".

Divisors: 1 2 13 17 26 34 53 106 221 442 689 809 901 1378 1618 1802 10517 11713 13753 21034 23426 27506 42877 85754 178789 357578 557401 728909 1114802 1457818 9475817 14174353 18951634 28348706 184266589 240964001 368533178 481928002 751240709 1502481418 3132532013 6265064026 9766129217 11467051577 12771092053 19532258434 22934103154 25542184106 149071670501 166024196689 194939876809 298143341002 332048393378 389879753618 607753733581 1215507467162 2534218398517 5068436797034 7900798536553 10331813470877 15801597073106 20663626941754 134313575121401 268627150242802