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3083954013 = 33725939509
BaseRepresentation
bin1011011111010001…
…0110011101011101
321221221000002121000
42313310112131131
522303443012023
61230003500513
7136265114400
oct26764263535
97857002530
103083954013
1113428a2328
12720987739
133a1bca57a
1421381bd37
15130b29243
hexb7d1675d

3083954013 has 48 divisors (see below), whose sum is σ = 5404968000. Its totient is φ = 1732346784.

The previous prime is 3083954009. The next prime is 3083954017. The reversal of 3083954013 is 3104593803.

3083954013 is a `hidden beast` number, since 30 + 83 + 9 + 540 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (3083954009) and next prime (3083954017).

It is not a de Polignac number, because 3083954013 - 22 = 3083954009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3083954017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58303 + ... + 97811.

It is an arithmetic number, because the mean of its divisors is an integer number (112603500).

Almost surely, 23083954013 is an apocalyptic number.

It is an amenable number.

3083954013 is a deficient number, since it is larger than the sum of its proper divisors (2321013987).

3083954013 is a wasteful number, since it uses less digits than its factorization.

3083954013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39591 (or 39578 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3083954013 is about 55533.3594607782. The cubic root of 3083954013 is about 1455.5796139037.

The spelling of 3083954013 in words is "three billion, eighty-three million, nine hundred fifty-four thousand, thirteen".

Divisors: 1 3 7 9 21 27 49 59 63 147 177 189 413 441 531 1239 1323 1593 2891 3717 8673 11151 26019 39509 78057 118527 276563 355581 829689 1066743 1935941 2331031 2489067 5807823 6993093 7467201 16317217 17423469 20979279 48951651 52270407 62937837 114220519 146854953 342661557 440564859 1027984671 3083954013