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3978668793 = 3113716319991
BaseRepresentation
bin1110110100100101…
…1010101011111001
3101021021120022112110
43231021122223321
531122014400133
61454444402533
7200411061321
oct35511325371
911237508473
103978668793
111761944830
12930546449
134b53933b8
1429a5a0281
1518445ec63
hexed25aaf9

3978668793 has 32 divisors (see below), whose sum is σ = 5980326912. Its totient is φ = 2331633600.

The previous prime is 3978668791. The next prime is 3978668809.

It is a happy number.

3978668793 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3978668793 - 21 = 3978668791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3978668791) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 189028 + ... + 209018.

It is an arithmetic number, because the mean of its divisors is an integer number (186885216).

Almost surely, 23978668793 is an apocalyptic number.

3978668793 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3978668793 is a deficient number, since it is larger than the sum of its proper divisors (2001658119).

3978668793 is a wasteful number, since it uses less digits than its factorization.

3978668793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20205.

The product of its digits is 82301184, while the sum is 66.

The square root of 3978668793 is about 63076.6897752252. The cubic root of 3978668793 is about 1584.5742560474.

The spelling of 3978668793 in words is "three billion, nine hundred seventy-eight million, six hundred sixty-eight thousand, seven hundred ninety-three".

Divisors: 1 3 11 33 37 111 163 407 489 1221 1793 5379 6031 18093 19991 59973 66341 199023 219901 659703 739667 2219001 3258533 8136337 9775599 24409011 35843863 107531589 120565721 361697163 1326222931 3978668793