Search a number
-
+
45819788688 = 2432318192977
BaseRepresentation
bin101010101011000100…
…100111110110010000
311101021021000102201200
4222223010213312100
51222314331214223
633014353031200
73211312530522
oct525304476620
9141237012650
1045819788688
1118483092463
128a68b55500
134422a021cb
1423094a9a12
1512d28c3a43
hexaab127d90

45819788688 has 30 divisors (see below), whose sum is σ = 128231770134. Its totient is φ = 15273262848.

The previous prime is 45819788657. The next prime is 45819788689. The reversal of 45819788688 is 88688791854.

45819788688 is a `hidden beast` number, since 458 + 1 + 97 + 8 + 8 + 6 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25891384464 + 19928404224 = 160908^2 + 141168^2 .

It is a super-2 number, since 2×458197886882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (45819788689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 159096345 + ... + 159096632.

Almost surely, 245819788688 is an apocalyptic number.

45819788688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45819788688 is an abundant number, since it is smaller than the sum of its proper divisors (82411981446).

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

45819788688 is a wasteful number, since it uses less digits than its factorization.

45819788688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318192991 (or 318192982 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 72.

The spelling of 45819788688 in words is "forty-five billion, eight hundred nineteen million, seven hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 318192977 636385954 954578931 1272771908 1909157862 2545543816 2863736793 3818315724 5091087632 5727473586 7636631448 11454947172 15273262896 22909894344 45819788688