Search a number
-
+
247088885085 = 325714946711273
BaseRepresentation
bin1110011000011110100…
…1010010110101011101
3212121210001022220012100
43212013221102311131
513022014223310320
6305302220155313
723565043604160
oct3460751226535
9777701286170
10247088885085
1195876263559
123ba79698b39
131a3b9c28ca3
14bd5dd45ad7
156662481790
hex3987a52d5d

247088885085 has 96 divisors (see below), whose sum is σ = 493855315200. Its totient is φ = 111946650624.

The previous prime is 247088885053. The next prime is 247088885179. The reversal of 247088885085 is 580588880742.

247088885085 is a `hidden beast` number, since 2 + 47 + 0 + 8 + 8 + 88 + 508 + 5 = 666.

It is not a de Polignac number, because 247088885085 - 25 = 247088885053 is a prime.

It is a super-2 number, since 2×2470888850852 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 21913009 + ... + 21924281.

It is an arithmetic number, because the mean of its divisors is an integer number (5144326200).

Almost surely, 2247088885085 is an apocalyptic number.

It is an amenable number.

247088885085 is a deficient number, since it is larger than the sum of its proper divisors (246766430115).

247088885085 is a wasteful number, since it uses less digits than its factorization.

247088885085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907 (or 11904 counting only the distinct ones).

The product of its (nonzero) digits is 45875200, while the sum is 63.

The spelling of 247088885085 in words is "two hundred forty-seven billion, eighty-eight million, eight hundred eighty-five thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 149 315 447 467 745 1043 1341 1401 2235 2335 3129 3269 4203 5215 6705 7005 9387 9807 11273 15645 16345 21015 29421 33819 46935 49035 56365 69583 78911 101457 147105 169095 208749 236733 347915 394555 487081 507285 626247 710199 1043745 1183665 1461243 1679677 2435405 3131235 3550995 4383729 5039031 5264491 7306215 8398385 11757739 15117093 15793473 21918645 25195155 26322455 35273217 36851437 47380419 58788695 75585465 78967365 105819651 110554311 176366085 184257185 236902095 331662933 529098255 552771555 784409159 1658314665 2353227477 3922045795 5490864113 7059682431 11766137385 16472592339 27454320565 35298412155 49417777017 82362961695 247088885085