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4113560064 = 2938930091
BaseRepresentation
bin1111010100101111…
…1111001000000000
3101121200101111120110
43311023333020000
531411032410224
61520103511320
7203636453325
oct36513771000
911550344513
104113560064
111820aa7619
12969758540
13507302313
142b0474b4c
15191207929
hexf52ff200

4113560064 has 80 divisors (see below), whose sum is σ = 11082281760. Its totient is φ = 1355735040.

The previous prime is 4113560039. The next prime is 4113560081. The reversal of 4113560064 is 4600653114.

4113560064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 121659 + ... + 151749.

It is an arithmetic number, because the mean of its divisors is an integer number (138528522).

Almost surely, 24113560064 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 4113560064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541140880).

4113560064 is an abundant number, since it is smaller than the sum of its proper divisors (6968721696).

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

4113560064 is an equidigital number, since it uses as much as digits as its factorization.

4113560064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30201 (or 30185 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 4113560064 is about 64137.0412788117. The cubic root of 4113560064 is about 1602.2832069706.

The spelling of 4113560064 in words is "four billion, one hundred thirteen million, five hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 128 178 192 256 267 356 384 512 534 712 768 1068 1424 1536 2136 2848 4272 5696 8544 11392 17088 22784 30091 34176 45568 60182 68352 90273 120364 136704 180546 240728 361092 481456 722184 962912 1444368 1925824 2678099 2888736 3851648 5356198 5777472 7703296 8034297 10712396 11554944 15406592 16068594 21424792 23109888 32137188 42849584 46219776 64274376 85699168 128548752 171398336 257097504 342796672 514195008 685593344 1028390016 1371186688 2056780032 4113560064