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4264388680 = 235413597243
BaseRepresentation
bin1111111000101101…
…0110100001001000
3102000012012101112111
43332023112201020
532213140414210
61543052352104
7210450464026
oct37613264110
912005171474
104264388680
111899155372
129b0175634
1352c631416
142c64d7716
1519e59c88a
hexfe2d6848

4264388680 has 64 divisors (see below), whose sum is σ = 9857635200. Its totient is φ = 1659287040.

The previous prime is 4264388677. The next prime is 4264388701. The reversal of 4264388680 is 868834624.

4264388680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42643886802 = 36370021628224284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

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, 585139 + ... + 592381.

It is an arithmetic number, because the mean of its divisors is an integer number (154025550).

Almost surely, 24264388680 is an apocalyptic number.

4264388680 is a gapful number since it is divisible by the number (40) 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 4264388680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928817600).

4264388680 is an abundant number, since it is smaller than the sum of its proper divisors (5593246520).

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

4264388680 is a wasteful number, since it uses less digits than its factorization.

4264388680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The square root of 4264388680 is about 65302.2869431079. The cubic root of 4264388680 is about 1621.6318312872.

The spelling of 4264388680 in words is "four billion, two hundred sixty-four million, three hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 359 410 718 820 1436 1640 1795 2872 3590 7180 7243 14360 14486 14719 28972 29438 36215 57944 58876 72430 73595 117752 144860 147190 289720 294380 296963 588760 593926 1187852 1484815 2375704 2600237 2969630 5200474 5939260 10400948 11878520 13001185 20801896 26002370 52004740 104009480 106609717 213219434 426438868 533048585 852877736 1066097170 2132194340 4264388680