Search a number
-
+
807830258274 = 2321383312113327
BaseRepresentation
bin10111100000101100110…
…11111000001001100010
32212020011002011002000100
423300112123320021202
5101213414021231044
61415040114003230
7112235533620234
oct13602633701142
92766132132010
10807830258274
11291665136726
12110690876516
135b24129abb0
142b156286254
151603095d869
hexbc166f8262

807830258274 has 96 divisors (see below), whose sum is σ = 1908401773824. Its totient is φ = 245471316480.

The previous prime is 807830258239. The next prime is 807830258297. The reversal of 807830258274 is 472852038708.

It is a self number, because there is not a number n which added to its sum of digits gives 807830258274.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 60609399 + ... + 60622725.

It is an arithmetic number, because the mean of its divisors is an integer number (19879185144).

Almost surely, 2807830258274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807830258274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954200886912).

807830258274 is an abundant number, since it is smaller than the sum of its proper divisors (1100571515550).

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

807830258274 is a wasteful number, since it uses less digits than its factorization.

807830258274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16552 (or 16549 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 807830258274 in words is "eight hundred seven billion, eight hundred thirty million, two hundred fifty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2158 3121 3237 6242 6474 9363 9711 13327 18726 19422 26654 28089 39981 40573 56178 79962 81146 119943 121719 173251 239886 243438 259043 346502 365157 518086 519753 730314 777129 1039506 1106141 1554258 1559259 2212282 2331387 3118518 3318423 3367559 4662774 6636846 6735118 9955269 10102677 14379833 19910538 20205354 28759666 30308031 41593567 43139499 60616062 83187134 86278998 124780701 129418497 249561402 258836994 374342103 540716371 748684206 1081432742 1622149113 3244298226 3452266061 4866447339 6904532122 9732894678 10356798183 20713596366 31070394549 44879458793 62140789098 89758917586 134638376379 269276752758 403915129137 807830258274