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3085436961 = 33196014497
BaseRepresentation
bin1011011111101000…
…0000100000100001
321222000210102211000
42313322000200201
522304332440321
61230055342213
7136313532015
oct26772004041
97860712730
103085436961
111343715502
12721381969
133a22c9559
14213ac6545
15130d1d826
hexb7e80821

3085436961 has 16 divisors (see below), whose sum is σ = 4811598400. Its totient is φ = 1948696704.

The previous prime is 3085436957. The next prime is 3085436969. The reversal of 3085436961 is 1696345803.

It is not a de Polignac number, because 3085436961 - 22 = 3085436957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3085436969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3006736 + ... + 3007761.

It is an arithmetic number, because the mean of its divisors is an integer number (300724900).

Almost surely, 23085436961 is an apocalyptic number.

It is an amenable number.

3085436961 is a deficient number, since it is larger than the sum of its proper divisors (1726161439).

3085436961 is a wasteful number, since it uses less digits than its factorization.

3085436961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6014525 (or 6014519 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3085436961 is about 55546.7097225389. The cubic root of 3085436961 is about 1455.8128861871.

The spelling of 3085436961 in words is "three billion, eighty-five million, four hundred thirty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 19 27 57 171 513 6014497 18043491 54130473 114275443 162391419 342826329 1028478987 3085436961