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3002760805 = 5112101157313
BaseRepresentation
bin1011001011111010…
…0111111001100101
321202021020001110011
42302332213321211
522122201321210
61213543330221
7134261021452
oct26276477145
97667201404
103002760805
111300a86700
126b9750971
1338b140055
14206b24829
1512893bd8a
hexb2fa7e65

3002760805 has 48 divisors (see below), whose sum is σ = 4038218352. Its totient is φ = 2141568000.

The previous prime is 3002760797. The next prime is 3002760811. The reversal of 3002760805 is 5080672003.

It can be written as a sum of positive squares in 8 ways, for example, as 165920161 + 2836840644 = 12881^2 + 53262^2 .

It is not a de Polignac number, because 3002760805 - 23 = 3002760797 is a prime.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9593329 + ... + 9593641.

It is an arithmetic number, because the mean of its divisors is an integer number (84129549).

Almost surely, 23002760805 is an apocalyptic number.

It is an amenable number.

3002760805 is a deficient number, since it is larger than the sum of its proper divisors (1035457547).

3002760805 is a wasteful number, since it uses less digits than its factorization.

3002760805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 3002760805 is about 54797.4525411538. The cubic root of 3002760805 is about 1442.6918535315.

The spelling of 3002760805 in words is "three billion, two million, seven hundred sixty thousand, eight hundred five".

Divisors: 1 5 11 55 101 121 157 313 505 605 785 1111 1565 1727 3443 5555 8635 12221 15857 17215 18997 31613 37873 49141 61105 79285 94985 158065 174427 189365 245705 347743 540551 872135 1738715 1918697 2702755 3825173 4963241 5946061 9593485 19125865 24816205 29730305 54595651 272978255 600552161 3002760805