Search a number
-
+
11642849024 = 28174756921
BaseRepresentation
bin10101101011111011…
…11100011100000000
31010001102002000022112
422311331330130000
5142321032132044
65203150354452
7561343404152
oct126575743400
933042060275
1011642849024
114a350a2884
12230b1bba28
1311371767a1
147c640cad2
1548222309e
hex2b5f7c700

11642849024 has 72 divisors (see below), whose sum is σ = 25131290688. Its totient is φ = 5362319360.

The previous prime is 11642849003. The next prime is 11642849039. The reversal of 11642849024 is 42094824611.

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 7 ways as a sum of consecutive naturals, for example, 176084 + ... + 233004.

It is an arithmetic number, because the mean of its divisors is an integer number (349045704).

Almost surely, 211642849024 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 11642849024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12565645344).

11642849024 is an abundant number, since it is smaller than the sum of its proper divisors (13488441664).

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

11642849024 is an equidigital number, since it uses as much as digits as its factorization.

11642849024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57001 (or 56987 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 11642849024 in words is "eleven billion, six hundred forty-two million, eight hundred forty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 256 272 376 544 752 799 1088 1504 1598 2176 3008 3196 4352 6016 6392 12032 12784 25568 51136 56921 102272 113842 204544 227684 455368 910736 967657 1821472 1935314 2675287 3642944 3870628 5350574 7285888 7741256 10701148 14571776 15482512 21402296 30965024 42804592 45479879 61930048 85609184 90959758 123860096 171218368 181919516 247720192 342436736 363839032 684873472 727678064 1455356128 2910712256 5821424512 11642849024