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268871681 = 1379972699
BaseRepresentation
bin10000000001101…
…010100000000001
3200201221002121102
4100001222200001
51022312343211
642402504145
76443241311
oct2001524001
9621832542
10268871681
11128853301
1276065055
134391c390
14279cd441
1518910a3b
hex1006a801

268871681 has 16 divisors (see below), whose sum is σ = 296352000. Its totient is φ = 242431488.

The previous prime is 268871663. The next prime is 268871683. The reversal of 268871681 is 186178862.

It is a happy number.

It is not a de Polignac number, because 268871681 - 222 = 264677377 is a prime.

It is a super-2 number, since 2×2688716812 = 144583961687531522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (268871683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98270 + ... + 100968.

It is an arithmetic number, because the mean of its divisors is an integer number (18522000).

Almost surely, 2268871681 is an apocalyptic number.

It is an amenable number.

268871681 is a deficient number, since it is larger than the sum of its proper divisors (27480319).

268871681 is a wasteful number, since it uses less digits than its factorization.

268871681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888.

The product of its digits is 258048, while the sum is 47.

The square root of 268871681 is about 16397.3071264766. The cubic root of 268871681 is about 645.4288204634.

The spelling of 268871681 in words is "two hundred sixty-eight million, eight hundred seventy-one thousand, six hundred eighty-one".

Divisors: 1 13 79 97 1027 1261 2699 7663 35087 99619 213221 261803 2771873 3403439 20682437 268871681