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34568130256 = 2411318577393
BaseRepresentation
bin100000001100011010…
…111100111011010000
310022020010000222000121
4200030122330323100
51031243420132011
623514055000024
72332426154602
oct401432747320
9108203028017
1034568130256
11137298989a0
126848969014
13334b90435a
14195d00b172
15d74bc3e71
hex80c6bced0

34568130256 has 80 divisors (see below), whose sum is σ = 75519595008. Its totient is φ = 15186124800.

The previous prime is 34568130253. The next prime is 34568130257. The reversal of 34568130256 is 65203186543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34568130253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4672096 + ... + 4679488.

Almost surely, 234568130256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34568130256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37759797504).

34568130256 is an abundant number, since it is smaller than the sum of its proper divisors (40951464752).

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

34568130256 is a wasteful number, since it uses less digits than its factorization.

34568130256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 34568130256 in words is "thirty-four billion, five hundred sixty-eight million, one hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 857 1364 1714 2728 3428 5456 6856 7393 9427 13712 14786 18854 26567 29572 37708 53134 59144 75416 81323 106268 118288 150832 162646 212536 229183 292237 325292 425072 458366 584474 650584 916732 1168948 1301168 1833464 2337896 2521013 3666928 4675792 5042026 6335801 10084052 12671602 20168104 25343204 40336208 50686408 69693811 101372816 139387622 196409831 278775244 392819662 557550488 785639324 1115100976 1571278648 2160508141 3142557296 4321016282 8642032564 17284065128 34568130256