Search a number
-
+
10944524656 = 24131728310937
BaseRepresentation
bin10100011000101100…
…00011000101110000
31001020202001110101001
422030112003011300
5134403244242111
65010003051344
7535133632102
oct121426030560
931222043331
1010944524656
1147069983aa
122155370b54
1310555a2cc0
1475b78d572
15440c821c1
hex28c583170

10944524656 has 80 divisors (see below), whose sum is σ = 24267134304. Its totient is φ = 4736950272.

The previous prime is 10944524653. The next prime is 10944524659. The reversal of 10944524656 is 65642544901.

It is an interprime number because it is at equal distance from previous prime (10944524653) and next prime (10944524659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10944524651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 995220 + ... + 1006156.

Almost surely, 210944524656 is an apocalyptic number.

10944524656 is a gapful number since it is divisible by the number (16) 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 10944524656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12133567152).

10944524656 is an abundant number, since it is smaller than the sum of its proper divisors (13322609648).

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

10944524656 is a wasteful number, since it uses less digits than its factorization.

10944524656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 46.

The spelling of 10944524656 in words is "ten billion, nine hundred forty-four million, five hundred twenty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 283 442 566 884 1132 1768 2264 3536 3679 4528 4811 7358 9622 10937 14716 19244 21874 29432 38488 43748 58864 62543 76976 87496 125086 142181 174992 185929 250172 284362 371858 500344 568724 743716 1000688 1137448 1487432 2274896 2417077 2974864 3095171 4834154 6190342 9668308 12380684 19336616 24761368 38673232 40237223 49522736 52617907 80474446 105235814 160948892 210471628 321897784 420943256 643795568 684032791 841886512 1368065582 2736131164 5472262328 10944524656