Search a number
-
+
11425498344 = 23321325747497
BaseRepresentation
bin10101010010000001…
…10100010011101000
31002111021002110020100
422221000310103220
5141344411421334
65125424025400
7553064063541
oct125100642350
932437073210
1011425498344
11493343a017
12226a462260
131101125c10
147a55d14c8
1546d0dcc99
hex2a90344e8

11425498344 has 96 divisors (see below), whose sum is σ = 33454741320. Its totient is φ = 3501785088.

The previous prime is 11425498313. The next prime is 11425498351. The reversal of 11425498344 is 44389452411.

11425498344 is a `hidden beast` number, since 114 + 2 + 5 + 498 + 3 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11425472100 + 26244 = 106890^2 + 162^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11425498344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216804 + ... + 264300.

Almost surely, 211425498344 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 11425498344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727370660).

11425498344 is an abundant number, since it is smaller than the sum of its proper divisors (22029242976).

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

11425498344 is a wasteful number, since it uses less digits than its factorization.

11425498344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47779 (or 47772 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 11425498344 in words is "eleven billion, four hundred twenty-five million, four hundred ninety-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 257 312 468 514 771 936 1028 1542 2056 2313 3084 3341 4626 6168 6682 9252 10023 13364 18504 20046 26728 30069 40092 47497 60138 80184 94994 120276 142491 189988 240552 284982 379976 427473 569964 617461 854946 1139928 1234922 1709892 1852383 2469844 3419784 3704766 4939688 5557149 7409532 11114298 12206729 14819064 22228596 24413458 36620187 44457192 48826916 73240374 97653832 109860561 146480748 158687477 219721122 292961496 317374954 439442244 476062431 634749908 878884488 952124862 1269499816 1428187293 1904249724 2856374586 3808499448 5712749172 11425498344