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68028637329 = 3222723832
BaseRepresentation
bin111111010110110100…
…101010000010010001
320111121000212211200100
4333112310222002101
52103310312343304
651130225443013
74625545606422
oct772664520221
9214530784610
1068028637329
112693a435124
12112267a0469
136551bb8c73
143414c93649
151b82508439
hexfd6d2a091

68028637329 has 27 divisors (see below), whose sum is σ = 98956744393. Its totient is φ = 45034742472.

The previous prime is 68028637283. The next prime is 68028637373. The reversal of 68028637329 is 92373682086.

It is a happy number.

The square root of 68028637329 is 260823.

It is a perfect power (a square), and thus also a powerful number.

68028637329 is a `hidden beast` number, since 6 + 8 + 0 + 286 + 37 + 329 = 666.

68028637329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 68028637329 - 217 = 68028506257 is a prime.

It is a super-2 number, since 2×680286373292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68028637379) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177620272 + ... + 177620654.

Almost surely, 268028637329 is an apocalyptic number.

68028637329 is the 260823-rd square number.

68028637329 is the 130412-nd centered octagonal number.

It is an amenable number.

68028637329 is a deficient number, since it is larger than the sum of its proper divisors (30928107064).

68028637329 is an frugal number, since it uses more digits than its factorization.

68028637329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 68028637329 in words is "sixty-eight billion, twenty-eight million, six hundred thirty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 9 227 383 681 1149 2043 3447 51529 86941 146689 154587 260823 440067 463761 782469 1320201 19735607 33298403 59206821 99895209 177620463 299685627 7558737481 22676212443 68028637329