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11324521264 = 2471394391657
BaseRepresentation
bin10101000101111111…
…00111101100110000
31002020020002021201111
422202333213230300
5141143034140024
65111415443104
7550426561660
oct124277475460
932206067644
1011324521264
114891440491
122240686494
1310b622c774
147960281a0
154642e3a94
hex2a2fe7b30

11324521264 has 80 divisors (see below), whose sum is σ = 25328934400. Its totient is φ = 4804572672.

The previous prime is 11324521261. The next prime is 11324521283. The reversal of 11324521264 is 46212542311.

It is not an unprimeable number, because it can be changed into a prime (11324521261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6833524 + ... + 6835180.

It is an arithmetic number, because the mean of its divisors is an integer number (316611680).

Almost surely, 211324521264 is an apocalyptic number.

11324521264 is a gapful number since it is divisible by the number (14) 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 11324521264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12664467200).

11324521264 is an abundant number, since it is smaller than the sum of its proper divisors (14004413136).

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

11324521264 is a wasteful number, since it uses less digits than its factorization.

11324521264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The spelling of 11324521264 in words is "eleven billion, three hundred twenty-four million, five hundred twenty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 439 556 878 973 1112 1657 1756 1946 2224 3073 3314 3512 3892 6146 6628 7024 7784 11599 12292 13256 15568 23198 24584 26512 46396 49168 61021 92792 122042 185584 230323 244084 427147 460646 488168 727423 854294 921292 976336 1454846 1612261 1708588 1842584 2909692 3224522 3417176 3685168 5091961 5819384 6449044 6834352 10183922 11638768 12898088 20367844 25796176 40735688 81471376 101111797 202223594 404447188 707782579 808894376 1415565158 1617788752 2831130316 5662260632 11324521264