Search a number
-
+
4768727094 = 23461653739
BaseRepresentation
bin1000111000011110…
…10000000000110110
3110022100012102210000
410130033100000312
534231243231334
62105110212130
7226113340305
oct43417200066
913270172700
104768727094
11202790527a
12b11054046
135acc75111
1433349c43c
151cd9c1299
hex11c3d0036

4768727094 has 80 divisors (see below), whose sum is σ = 10892003760. Its totient is φ = 1559010240.

The previous prime is 4768727083. The next prime is 4768727123. The reversal of 4768727094 is 4907278674.

4768727094 is a `hidden beast` number, since 476 + 87 + 2 + 7 + 0 + 94 = 666.

It is a super-3 number, since 3×47687270943 (a number of 30 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4768727094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6452577 + ... + 6453315.

It is an arithmetic number, because the mean of its divisors is an integer number (136150047).

Almost surely, 24768727094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4768727094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446001880).

4768727094 is an abundant number, since it is smaller than the sum of its proper divisors (6123276666).

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

4768727094 is a wasteful number, since it uses less digits than its factorization.

4768727094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 4768727094 is about 69055.9707338909. The cubic root of 4768727094 is about 1683.1939303918.

The spelling of 4768727094 in words is "four billion, seven hundred sixty-eight million, seven hundred twenty-seven thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 653 739 1098 1306 1478 1647 1959 2217 3294 3918 4434 4941 5877 6651 9882 11754 13302 17631 19953 35262 39833 39906 45079 52893 59859 79666 90158 105786 119499 119718 135237 238998 270474 358497 405711 482567 716994 811422 965134 1075491 1217133 1447701 2150982 2434266 2895402 3226473 3651399 4343103 6452946 7302798 8686206 13029309 26058618 29436587 39087927 58873174 78175854 88309761 176619522 264929283 529858566 794787849 1589575698 2384363547 4768727094