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4013620864 = 27112850583
BaseRepresentation
bin1110111100111010…
…1111111010000000
3101100201100001202121
43233032233322000
531204441331424
61502133454024
7201314133361
oct35716577200
911321301677
104013620864
11177a647840
129401a1314
134bc6b03b6
142a109bb68
15187565ee4
hexef3afe80

4013620864 has 32 divisors (see below), whose sum is σ = 8722787040. Its totient is φ = 1824372480.

The previous prime is 4013620829. The next prime is 4013620867. The reversal of 4013620864 is 4680263104.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×40136208642 = 32218304879872212992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013620867) 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 3 ways as a sum of consecutive naturals, for example, 1423884 + ... + 1426699.

It is an arithmetic number, because the mean of its divisors is an integer number (272587095).

Almost surely, 24013620864 is an apocalyptic number.

4013620864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4013620864 is an abundant number, since it is smaller than the sum of its proper divisors (4709166176).

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

4013620864 is a wasteful number, since it uses less digits than its factorization.

4013620864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850608 (or 2850596 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4013620864 is about 63353.1440735186. The cubic root of 4013620864 is about 1589.2008251262.

Adding to 4013620864 its reverse (4680263104), we get a palindrome (8693883968).

The spelling of 4013620864 in words is "four billion, thirteen million, six hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2850583 5701166 11402332 22804664 31356413 45609328 62712826 91218656 125425652 182437312 250851304 364874624 501702608 1003405216 2006810432 4013620864