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4623113264 = 247114779841
BaseRepresentation
bin1000100111000111…
…10001110000110000
3102221012012111011012
410103203301300300
533432004111024
62042425210052
7222364546220
oct42343616060
912835174135
104623113264
111a62699470
12a90330928
13588a507a3
1431bdd6080
151c0d0b50e
hex1138f1c30

4623113264 has 80 divisors (see below), whose sum is σ = 11405270016. Its totient is φ = 1762867200.

The previous prime is 4623113251. The next prime is 4623113279.

4623113264 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4623113264.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17984 + ... + 97824.

Almost surely, 24623113264 is an apocalyptic number.

4623113264 is a gapful number since it is divisible by the number (44) 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 4623113264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702635008).

4623113264 is an abundant number, since it is smaller than the sum of its proper divisors (6782156752).

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

4623113264 is a wasteful number, since it uses less digits than its factorization.

4623113264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79914 (or 79908 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 4623113264 is about 67993.4795697352. The cubic root of 4623113264 is about 1665.8843356235.

It can be divided in two parts, 46231 and 13264, that added together give a palindrome (59495).

The spelling of 4623113264 in words is "four billion, six hundred twenty-three million, one hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 47 56 77 88 94 112 154 176 188 308 329 376 517 616 658 752 1034 1232 1316 2068 2632 3619 4136 5264 7238 8272 14476 28952 57904 79841 159682 319364 558887 638728 878251 1117774 1277456 1756502 2235548 3513004 3752527 4471096 6147757 7026008 7505054 8942192 12295514 14052016 15010108 24591028 26267689 30020216 41277797 49182056 52535378 60040432 82555594 98364112 105070756 165111188 210141512 288944579 330222376 420283024 577889158 660444752 1155778316 2311556632 4623113264