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3005978973 = 3173233479
BaseRepresentation
bin1011001100101011…
…1001100101011101
321202111021112221120
42303022321211131
522124012311343
61214140321153
7134330254044
oct26312714535
97674245846
103005978973
111302884548
126ba8431b9
1338b9c8aaa
1420732155b
15128d75683
hexb32b995d

3005978973 has 12 divisors (see below), whose sum is σ = 4031393760. Its totient is φ = 1992342736.

The previous prime is 3005978971. The next prime is 3005978977. The reversal of 3005978973 is 3798795003.

It is a happy number.

It is not a de Polignac number, because 3005978973 - 21 = 3005978971 is a prime.

It is a super-2 number, since 2×30059789732 = 18071819172236269458, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005978971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73048 + ... + 106526.

It is an arithmetic number, because the mean of its divisors is an integer number (335949480).

Almost surely, 23005978973 is an apocalyptic number.

It is an amenable number.

3005978973 is a deficient number, since it is larger than the sum of its proper divisors (1025414787).

3005978973 is an equidigital number, since it uses as much as digits as its factorization.

3005978973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33828 (or 33655 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 3005978973 is about 54826.8088894475. The cubic root of 3005978973 is about 1443.2070646341.

The spelling of 3005978973 in words is "three billion, five million, nine hundred seventy-eight thousand, nine hundred seventy-three".

Divisors: 1 3 173 519 29929 33479 89787 100437 5791867 17375601 1001992991 3005978973