Search a number
-
+
2613660426 = 23313101191193
BaseRepresentation
bin1001101111001001…
…0100101100001010
320202011001201002000
42123302110230022
520323044113201
61111203451430
7121524514146
oct23362245412
96664051060
102613660426
111121385843
1260b386b76
13328646940
141ab19a226
151046ccd86
hex9bc94b0a

2613660426 has 128 divisors (see below), whose sum is σ = 6382817280. Its totient is φ = 787968000.

The previous prime is 2613660397. The next prime is 2613660433. The reversal of 2613660426 is 6240663162.

2613660426 is a `hidden beast` number, since 26 + 1 + 3 + 6 + 604 + 26 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13542186 + ... + 13542378.

It is an arithmetic number, because the mean of its divisors is an integer number (49865760).

Almost surely, 22613660426 is an apocalyptic number.

2613660426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2613660426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191408640).

2613660426 is an abundant number, since it is smaller than the sum of its proper divisors (3769156854).

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

2613660426 is a wasteful number, since it uses less digits than its factorization.

2613660426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 2613660426 is about 51123.9711485718. The cubic root of 2613660426 is about 1377.4728702841.

The spelling of 2613660426 in words is "two billion, six hundred thirteen million, six hundred sixty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 191 193 202 234 303 351 382 386 573 579 606 702 909 1146 1158 1313 1719 1737 1818 2483 2509 2626 2727 3438 3474 3939 4966 5018 5157 5211 5454 7449 7527 7878 10314 10422 11817 14898 15054 19291 19493 22347 22581 23634 35451 36863 38582 38986 44694 45162 57873 58479 67041 67743 70902 73726 110589 115746 116958 134082 135486 173619 175437 221178 250783 253409 331767 347238 350874 479219 501566 506818 520857 526311 663534 752349 760227 958438 995301 1041714 1052622 1437657 1504698 1520454 1990602 2257047 2280681 2875314 3723163 4312971 4514094 4561362 6771141 6842043 7446326 8625942 11169489 12938913 13542282 13684086 22338978 25877826 33508467 48401119 67016934 96802238 100525401 145203357 201050802 290406714 435610071 871220142 1306830213 2613660426