Search a number
-
+
9266040544 = 2523611731193
BaseRepresentation
bin10001010000100110…
…01000111011100000
3212220202200122000211
420220103020323200
5122434101244134
64131243223504
7445423021315
oct105023107340
925822618024
109266040544
113a25490452
121967217b94
13b4891ab37
1463c8a8d0c
1539372d764
hex2284c8ee0

9266040544 has 96 divisors (see below), whose sum is σ = 19475878464. Its totient is φ = 4330106880.

The previous prime is 9266040529. The next prime is 9266040547. The reversal of 9266040544 is 4450406629.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 9266040497 and 9266040506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9266040547) 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, 7766412 + ... + 7767604.

It is an arithmetic number, because the mean of its divisors is an integer number (202873734).

Almost surely, 29266040544 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 9266040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737939232).

9266040544 is an abundant number, since it is smaller than the sum of its proper divisors (10209837920).

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

9266040544 is a wasteful number, since it uses less digits than its factorization.

9266040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 9266040544 is about 96260.2750048014. The cubic root of 9266040544 is about 2100.3809243986.

The spelling of 9266040544 in words is "nine billion, two hundred sixty-six million, forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 173 184 244 346 368 488 692 736 976 1193 1384 1403 1952 2386 2768 2806 3979 4772 5536 5612 7958 9544 10553 11224 15916 19088 21106 22448 27439 31832 38176 42212 44896 54878 63664 72773 84424 109756 127328 145546 168848 206389 219512 242719 291092 337696 412778 439024 485438 582184 825556 878048 970876 1164368 1651112 1673779 1941752 2328736 3302224 3347558 3883504 4746947 6604448 6695116 7767008 9493894 12589729 13390232 18987788 25179458 26780464 37975576 50358916 53560928 75951152 100717832 151902304 201435664 289563767 402871328 579127534 1158255068 2316510136 4633020272 9266040544