Search a number
-
+
4166462064 = 2431031515581
BaseRepresentation
bin1111100001010111…
…0010101001110000
3101202100221012110210
43320111302221300
532013103241224
61525233424120
7205151225502
oct37025625160
911670835423
104166462064
11184894a686
1298340b040
1351526558b
142b74c5d72
15195ba7429
hexf8572a70

4166462064 has 80 divisors (see below), whose sum is σ = 10941791744. Its totient is φ = 1365984000.

The previous prime is 4166462039. The next prime is 4166462089. The reversal of 4166462064 is 4602646614.

4166462064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4166462039) and next prime (4166462089).

It is a super-2 number, since 2×41664620642 = 34718812261502280192, which contains 22 as substring.

It is a congruent number.

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, 743754 + ... + 749334.

Almost surely, 24166462064 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 4166462064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470895872).

4166462064 is an abundant number, since it is smaller than the sum of its proper divisors (6775329680).

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

4166462064 is a wasteful number, since it uses less digits than its factorization.

4166462064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5846 (or 5840 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4166462064 is about 64548.1375718928. The cubic root of 4166462064 is about 1609.1226350179.

The spelling of 4166462064 in words is "four billion, one hundred sixty-six million, four hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 151 206 302 309 412 453 604 618 824 906 1208 1236 1648 1812 2416 2472 3624 4944 5581 7248 11162 15553 16743 22324 31106 33486 44648 46659 62212 66972 89296 93318 124424 133944 186636 248848 267888 373272 574843 746544 842731 1149686 1685462 1724529 2299372 2528193 3370924 3449058 4598744 5056386 6741848 6898116 9197488 10112772 13483696 13796232 20225544 27592464 40451088 86801293 173602586 260403879 347205172 520807758 694410344 1041615516 1388820688 2083231032 4166462064