Search a number
-
+
2805025302552 = 23311471415315973
BaseRepresentation
bin101000110100011000100…
…010010110100000011000
3100221011021000222102002110
4220310120202112200120
5331424142434140202
65544335535032320
7406441066446654
oct50643042264030
910834230872073
102805025302552
11991671724790
1239377136b6a0
1317468868b445
1499a9a3c1a64
154ce7257326c
hex28d18896818

2805025302552 has 128 divisors (see below), whose sum is σ = 7813877621760. Its totient is φ = 831811537920.

The previous prime is 2805025302551. The next prime is 2805025302589. The reversal of 2805025302552 is 2552035205082.

It is a self number, because there is not a number n which added to its sum of digits gives 2805025302552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2805025302551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175602438 + ... + 175618410.

It is an arithmetic number, because the mean of its divisors is an integer number (61045918920).

Almost surely, 22805025302552 is an apocalyptic number.

2805025302552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2805025302552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906938810880).

2805025302552 is an abundant number, since it is smaller than the sum of its proper divisors (5008852319208).

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

2805025302552 is a wasteful number, since it uses less digits than its factorization.

2805025302552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30193 (or 30189 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

It can be divided in two parts, 280502530 and 2552, that added together give a palindrome (280505082).

The spelling of 2805025302552 in words is "two trillion, eight hundred five billion, twenty-five million, three hundred two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 2068 3102 4136 6204 12408 14153 15973 28306 31946 42459 47919 56612 63892 84918 95838 113224 127784 155683 169836 175703 191676 311366 339672 351406 383352 467049 527109 622732 665191 702812 750731 934098 1054218 1245464 1330382 1405624 1501462 1868196 1995573 2108436 2252193 2660764 3002924 3736392 3991146 4216872 4504386 5321528 6005848 7317101 7982292 8258041 9008772 14634202 15964584 16516082 18017544 21951303 24774123 29268404 33032164 43902606 49548246 58536808 66064328 87805212 99096492 175610424 198192984 226065869 452131738 678197607 904263476 1356395214 1808526952 2486724559 2712790428 4973449118 5425580856 7460173677 9946898236 10625095843 14920347354 19893796472 21250191686 29840694708 31875287529 42500383372 59681389416 63750575058 85000766744 116876054273 127501150116 233752108546 255002300232 350628162819 467504217092 701256325638 935008434184 1402512651276 2805025302552