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2630004312 = 23313173971249
BaseRepresentation
bin1001110011000010…
…1010111001011000
320210021211001200010
42130300222321120
520341240114222
61112550041520
7122113445025
oct23460527130
96707731603
102630004312
11112a629191
126149492a0
1332bb49b90
141ad41254c
15105d5a80c
hex9cc2ae58

2630004312 has 128 divisors (see below), whose sum is σ = 7522200000. Its totient is φ = 759103488.

The previous prime is 2630004283. The next prime is 2630004331. The reversal of 2630004312 is 2134000362.

It is a happy number.

It is a super-2 number, since 2×26300043122 = 13833845362277186688, which contains 22 as substring.

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, 2105064 + ... + 2106312.

Almost surely, 22630004312 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 2630004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761100000).

2630004312 is an abundant number, since it is smaller than the sum of its proper divisors (4892195688).

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

2630004312 is a wasteful number, since it uses less digits than its factorization.

2630004312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2630004312 is about 51283.5676606065. The cubic root of 2630004312 is about 1380.3381360027.

Adding to 2630004312 its reverse (2134000362), we get a palindrome (4764004674).

The spelling of 2630004312 in words is "two billion, six hundred thirty million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 397 408 442 663 794 884 1191 1249 1326 1588 1768 2382 2498 2652 3176 3747 4764 4996 5161 5304 6749 7494 9528 9992 10322 13498 14988 15483 16237 20247 20644 21233 26996 29976 30966 32474 40494 41288 42466 48711 53992 61932 63699 64948 80988 84932 87737 97422 123864 127398 129896 161976 169864 175474 194844 254796 263211 276029 350948 389688 495853 509592 526422 552058 701896 828087 991706 1052844 1104116 1487559 1656174 1983412 2105688 2208232 2975118 3312348 3966824 5950236 6446089 6624696 8429501 11900472 12892178 16859002 19338267 25288503 25784356 33718004 38676534 50577006 51568712 67436008 77353068 101154012 109583513 154706136 202308024 219167026 328750539 438334052 657501078 876668104 1315002156 2630004312