Search a number
-
+
79675017345 = 32571147489239
BaseRepresentation
bin100101000110100000…
…0000100100010000001
321121122200121020121100
41022031000010202001
52301133301023340
6100334024045013
75520264321210
oct1121500044201
9247580536540
1079675017345
1130876519880
1213537003769
1376899ca9a1
143bdb941077
152114bc7830
hex128d004881

79675017345 has 96 divisors (see below), whose sum is σ = 175844597760. Its totient is φ = 32407125120.

The previous prime is 79675017313. The next prime is 79675017361. The reversal of 79675017345 is 54371057697.

79675017345 is a `hidden beast` number, since 7 + 9 + 67 + 501 + 73 + 4 + 5 = 666.

It is not a de Polignac number, because 79675017345 - 25 = 79675017313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 79675017291 and 79675017300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81765 + ... + 407474.

It is an arithmetic number, because the mean of its divisors is an integer number (1831714560).

Almost surely, 279675017345 is an apocalyptic number.

It is an amenable number.

79675017345 is an abundant number, since it is smaller than the sum of its proper divisors (96169580415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79675017345 is a wasteful number, since it uses less digits than its factorization.

79675017345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489315 (or 489312 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 79675017345 in words is "seventy-nine billion, six hundred seventy-five million, seventeen thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 47 55 63 77 99 105 141 165 231 235 315 329 385 423 495 517 693 705 987 1155 1551 1645 2115 2585 2961 3465 3619 4653 4935 7755 10857 14805 18095 23265 32571 54285 162855 489239 1467717 2446195 3424673 4403151 5381629 7338585 10274019 16144887 17123365 22015755 22994233 26908145 30822057 37671403 48434661 51370095 68982699 80724435 113014209 114971165 154110285 160959631 188357015 206948097 242173305 252936563 339042627 344913495 482878893 565071045 758809689 804798155 1034740485 1264682815 1448636679 1695213135 1770555941 2276429067 2414394465 3794048445 5311667823 7243183395 8852779705 11382145335 15935003469 26558339115 79675017345