Search a number
-
+
264380528742 = 2311109163225461
BaseRepresentation
bin1111011000111001001…
…1101011100001100110
3221021102010121101222220
43312032103223201212
513312422403404432
6321242120133210
725046411262351
oct3661623534146
9837363541886
10264380528742
11a2139a09350
12432a4607206
131bc144827b5
14cb20661298
156d2556672c
hex3d8e4eb866

264380528742 has 64 divisors (see below), whose sum is σ = 585696165120. Its totient is φ = 78892963200.

The previous prime is 264380528701. The next prime is 264380528803. The reversal of 264380528742 is 247825083462.

It is a happy number.

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, 1059892 + ... + 1285352.

It is an arithmetic number, because the mean of its divisors is an integer number (9151502580).

Almost surely, 2264380528742 is an apocalyptic number.

264380528742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 264380528742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292848082560).

264380528742 is an abundant number, since it is smaller than the sum of its proper divisors (321315636378).

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

264380528742 is a wasteful number, since it uses less digits than its factorization.

264380528742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225749.

The product of its (nonzero) digits is 5160960, while the sum is 51.

The spelling of 264380528742 in words is "two hundred sixty-four billion, three hundred eighty million, five hundred twenty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 163 218 326 327 489 654 978 1199 1793 2398 3586 3597 5379 7194 10758 17767 35534 53301 106602 195437 225461 390874 450922 586311 676383 1172622 1352766 2480071 4960142 7440213 14880426 24575249 36750143 49150498 73500286 73725747 110250429 147451494 220500858 270327739 404251573 540655478 808503146 810983217 1212754719 1621966434 2425509438 4005765587 8011531174 12017296761 24034593522 44063421457 88126842914 132190264371 264380528742