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890816315238 = 2321493257912853
BaseRepresentation
bin11001111011010001100…
…10100011111101100110
310011011100112001120002200
430331220302203331212
5104043342434041423
61521122501115330
7121234154513253
oct14755062437546
93134315046080
10890816315238
1131387a64a583
121247906b8b46
1366007c44a05
143118983842a
151828b169d43
hexcf68ca3f66

890816315238 has 48 divisors (see below), whose sum is σ = 1932294003120. Its totient is φ = 296601746112.

The previous prime is 890816315227. The next prime is 890816315267. The reversal of 890816315238 is 832513618098.

890816315238 is a `hidden beast` number, since 8 + 9 + 0 + 81 + 6 + 31 + 523 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69301620 + ... + 69314472.

It is an arithmetic number, because the mean of its divisors is an integer number (40256125065).

Almost surely, 2890816315238 is an apocalyptic number.

890816315238 is an abundant number, since it is smaller than the sum of its proper divisors (1041477687882).

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

890816315238 is a wasteful number, since it uses less digits than its factorization.

890816315238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16930 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 890816315238 in words is "eight hundred ninety billion, eight hundred sixteen million, three hundred fifteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 1493 2579 2986 4479 5158 7737 8958 12853 13437 15474 23211 25706 26874 38559 46422 77118 115677 231354 3850447 7700894 11551341 19189529 23102682 33147887 34654023 38379058 57568587 66295774 69308046 99443661 115137174 172705761 198887322 298330983 345411522 596661966 49489795291 98979590582 148469385873 296938771746 445408157619 890816315238