Search a number
-
+
2604326016 = 273172231789
BaseRepresentation
bin1001101100111010…
…1101110010000000
320201111111110200010
42123032231302000
520313201413031
61110231424520
7121352256135
oct23316556200
96644443603
102604326016
11111708a756
12608225140
13326729016
141a9c4a58c
15103987246
hex9b3adc80

2604326016 has 128 divisors (see below), whose sum is σ = 7361625600. Its totient is φ = 812924928.

The previous prime is 2604325973. The next prime is 2604326047. The reversal of 2604326016 is 6106234062.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26043260162 = 13565027995228864512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454850 + ... + 1456638.

It is an arithmetic number, because the mean of its divisors is an integer number (57512700).

Almost surely, 22604326016 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 2604326016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680812800).

2604326016 is an abundant number, since it is smaller than the sum of its proper divisors (4757299584).

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

2604326016 is a wasteful number, since it uses less digits than its factorization.

2604326016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2604326016 is about 51032.5975823297. The cubic root of 2604326016 is about 1375.8310816621.

The spelling of 2604326016 in words is "two billion, six hundred four million, three hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 223 272 384 408 446 544 669 816 892 1088 1338 1632 1784 1789 2176 2676 3264 3568 3578 3791 5352 5367 6528 7136 7156 7582 10704 10734 11373 14272 14312 15164 21408 21468 22746 28544 28624 30328 30413 42816 42936 45492 57248 60656 60826 85632 85872 90984 91239 114496 121312 121652 171744 181968 182478 228992 242624 243304 343488 363936 364956 398947 485248 486608 686976 727872 729912 797894 973216 1196841 1455744 1459824 1595788 1946432 2393682 2919648 3191576 3892864 4787364 5839296 6383152 6782099 9574728 11678592 12766304 13564198 19149456 20346297 25532608 27128396 38298912 40692594 51065216 54256792 76597824 81385188 108513584 153195648 162770376 217027168 325540752 434054336 651081504 868108672 1302163008 2604326016