Search a number
-
+
5506073046 = 2322512814337
BaseRepresentation
bin1010010000011000…
…00000000111010110
3112012201122111021100
411020030000013112
542234023314141
62310210130530
7253305564045
oct51014000726
915181574240
105506073046
1123760421a1
121097b80a46
1369995bcb6
143a339855c
152235be0b6
hex1483001d6

5506073046 has 48 divisors (see below), whose sum is σ = 12022749648. Its totient is φ = 1821120000.

The previous prime is 5506073039. The next prime is 5506073047. The reversal of 5506073046 is 6403706055.

5506073046 is a `hidden beast` number, since 5 + 5 + 0 + 607 + 3 + 0 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5506073046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506073047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1267390 + ... + 1271726.

It is an arithmetic number, because the mean of its divisors is an integer number (250473951).

Almost surely, 25506073046 is an apocalyptic number.

5506073046 is an abundant number, since it is smaller than the sum of its proper divisors (6516676602).

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

5506073046 is a wasteful number, since it uses less digits than its factorization.

5506073046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4874 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5506073046 is about 74202.9180423519. The cubic root of 5506073046 is about 1765.8236246753.

The spelling of 5506073046 in words is "five billion, five hundred six million, seventy-three thousand, forty-six".

Divisors: 1 2 3 6 9 18 251 281 502 562 753 843 1506 1686 2259 2529 4337 4518 5058 8674 13011 26022 39033 70531 78066 141062 211593 423186 634779 1088587 1218697 1269558 2177174 2437394 3265761 3656091 6531522 7312182 9797283 10968273 19594566 21936546 305892947 611785894 917678841 1835357682 2753036523 5506073046