Search a number
-
+
283870399164 = 2231123301930971
BaseRepresentation
bin1000010000101111111…
…11101000101010111100
31000010201102020102000120
410020113333220222330
514122331310233124
6334224103454540
726336400403122
oct4102777505274
91003642212016
10283870399164
11aa430492480
1247023757450
13209cc2697c1
14da4ccb5912
1575b6617d79
hex4217fe8abc

283870399164 has 96 divisors (see below), whose sum is σ = 754269788160. Its totient is φ = 82251364800.

The previous prime is 283870399147. The next prime is 283870399231. The reversal of 283870399164 is 461993078382.

It is a junction number, because it is equal to n+sod(n) for n = 283870399098 and 283870399107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9150199 + ... + 9181169.

It is an arithmetic number, because the mean of its divisors is an integer number (7856976960).

Almost surely, 2283870399164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 283870399164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377134894080).

283870399164 is an abundant number, since it is smaller than the sum of its proper divisors (470399388996).

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

283870399164 is a wasteful number, since it uses less digits than its factorization.

283870399164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34031 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 283870399164 in words is "two hundred eighty-three billion, eight hundred seventy million, three hundred ninety-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3019 3036 6038 9057 12076 18114 30971 33209 36228 61942 66418 69437 92913 99627 123884 132836 138874 185826 199254 208311 277748 340681 371652 398508 416622 681362 712333 763807 833244 1022043 1362724 1424666 1527614 2044086 2136999 2291421 2849332 3055228 4088172 4273998 4582842 7835663 8547996 9165684 15671326 23506989 31342652 47013978 93501449 94027956 187002898 280504347 374005796 561008694 1028515939 1122017388 2057031878 2150533327 3085547817 4114063756 4301066654 6171095634 6451599981 8602133308 12342191268 12903199962 23655866597 25806399924 47311733194 70967599791 94623466388 141935199582 283870399164