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979965000313 = 13373495837677
BaseRepresentation
bin11100100001010100111…
…01110011101001111001
310110200110110000222200121
432100222131303221321
5112023432020002223
62030104550533241
7130541306031145
oct16205235635171
93420413028617
10979965000313
11348667771112
12139b10367221
1371544588340
1435605650225
151a7578d515d
hexe42a773a79

979965000313 has 16 divisors (see below), whose sum is σ = 1086975643600. Its totient is φ = 877612859136.

The previous prime is 979965000307. The next prime is 979965000341. The reversal of 979965000313 is 313000569979.

979965000313 = 6999872 + 6999882.

It can be written as a sum of positive squares in 8 ways, for example, as 189336376384 + 790628623929 = 435128^2 + 889173^2 .

It is not a de Polignac number, because 979965000313 - 25 = 979965000281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (979965000353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2750970 + ... + 3086707.

It is an arithmetic number, because the mean of its divisors is an integer number (67935977725).

Almost surely, 2979965000313 is an apocalyptic number.

979965000313 is the 699988-th centered square number.

It is an amenable number.

979965000313 is a deficient number, since it is larger than the sum of its proper divisors (107010643287).

979965000313 is a wasteful number, since it uses less digits than its factorization.

979965000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838076.

The product of its (nonzero) digits is 1377810, while the sum is 52.

The spelling of 979965000313 in words is "nine hundred seventy-nine billion, nine hundred sixty-five million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 13 37 349 481 4537 12913 167869 5837677 75889801 215994049 2037349273 2807922637 26485540549 75381923101 979965000313