Search a number
-
+
2594135264 = 257217307317
BaseRepresentation
bin1001101010011111…
…0101110011100000
320200210022201120212
42122213311303200
520303044312024
61105225153252
7121166533400
oct23247656340
96623281525
102594135264
11111135a246
1260492b828
1332459b6a6
141a8756800
15102b22a0e
hex9a9f5ce0

2594135264 has 144 divisors (see below), whose sum is σ = 6330904272. Its totient is φ = 1039675392.

The previous prime is 2594135263. The next prime is 2594135267. The reversal of 2594135264 is 4625314952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2594135263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8183234 + ... + 8183550.

It is an arithmetic number, because the mean of its divisors is an integer number (43964613).

Almost surely, 22594135264 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 2594135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165452136).

2594135264 is an abundant number, since it is smaller than the sum of its proper divisors (3736769008).

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

2594135264 is a wasteful number, since it uses less digits than its factorization.

2594135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its digits is 259200, while the sum is 41.

The square root of 2594135264 is about 50932.6542014060. The cubic root of 2594135264 is about 1374.0341892479.

The spelling of 2594135264 in words is "two billion, five hundred ninety-four million, one hundred thirty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 307 317 392 476 544 614 634 784 833 952 1228 1268 1568 1666 1904 2149 2219 2456 2536 3332 3808 4298 4438 4912 5072 5219 5389 6664 8596 8876 9824 10144 10438 10778 13328 15043 15533 17192 17752 20876 21556 26656 30086 31066 34384 35504 36533 37723 41752 43112 60172 62132 68768 71008 73066 75446 83504 86224 97319 120344 124264 146132 150892 167008 172448 194638 240688 248528 255731 264061 292264 301784 389276 481376 497056 511462 528122 584528 603568 681233 778552 1022924 1056244 1169056 1207136 1362466 1557104 1654423 2045848 2112488 2724932 3114208 3308846 4091696 4224976 4768631 5449864 6617692 8183392 8449952 9537262 10899728 11580961 13235384 19074524 21799456 23161922 26470768 38149048 46323844 52941536 76298096 81066727 92647688 152596192 162133454 185295376 324266908 370590752 648533816 1297067632 2594135264