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7085423104 = 29101181757
BaseRepresentation
bin1101001100101001…
…01111101000000000
3200021210110210020221
412212110233220000
5104002332014404
63131025112424
7340404050134
oct64624575000
920253423227
107085423104
11300659a281
121458a88714
1388bc14866
144b30353c4
152b708e954
hex1a652fa00

7085423104 has 80 divisors (see below), whose sum is σ = 14395156776. Its totient is φ = 3483648000.

The previous prime is 7085423099. The next prime is 7085423117. The reversal of 7085423104 is 4013245807.

It can be written as a sum of positive squares in 4 ways, for example, as 6108985600 + 976437504 = 78160^2 + 31248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7085423104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9359494 + ... + 9360250.

Almost surely, 27085423104 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 7085423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197578388).

7085423104 is an abundant number, since it is smaller than the sum of its proper divisors (7309733672).

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

7085423104 is a wasteful number, since it uses less digits than its factorization.

7085423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 7085423104 is about 84174.9553252035. The cubic root of 7085423104 is about 1920.6811009502.

The spelling of 7085423104 in words is "seven billion, eighty-five million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 181 202 256 362 404 512 724 757 808 1448 1514 1616 2896 3028 3232 5792 6056 6464 11584 12112 12928 18281 23168 24224 25856 36562 46336 48448 51712 73124 76457 92672 96896 137017 146248 152914 193792 274034 292496 305828 387584 548068 584992 611656 1096136 1169984 1223312 2192272 2339968 2446624 4384544 4679936 4893248 8769088 9359872 9786496 13838717 17538176 19572992 27677434 35076352 39145984 55354868 70152704 110709736 221419472 442838944 885677888 1771355776 3542711552 7085423104