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3085130664 = 23327112931619
BaseRepresentation
bin1011011111100011…
…0101101110101000
321222000012212122200
42313320311232220
522304243140124
61230045020200
7136311115020
oct26770655650
97860185580
103085130664
111343526370
12721254660
133a2220005
14213a46a80
15130cacbc9
hexb7e35ba8

3085130664 has 384 divisors, whose sum is σ = 11142144000. Its totient is φ = 747532800.

The previous prime is 3085130651. The next prime is 3085130683. The reversal of 3085130664 is 4660315803.

Together with 8057013335 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4983747 + ... + 4984365.

It is an arithmetic number, because the mean of its divisors is an integer number (29016000).

Almost surely, 23085130664 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 3085130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072000).

3085130664 is an abundant number, since it is smaller than the sum of its proper divisors (8057013336).

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

3085130664 is a wasteful number, since it uses less digits than its factorization.

3085130664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3085130664 is about 55543.9525421085. The cubic root of 3085130664 is about 1455.7647108523.

The spelling of 3085130664 in words is "three billion, eighty-five million, one hundred thirty thousand, six hundred sixty-four".