Search a number
-
+
18606273056 = 257679712781
BaseRepresentation
bin10001010101000001…
…010011001000100000
31210000200222121022022
4101111001103020200
5301101201214211
612314141001012
71226036466020
oct212501231040
953020877268
1018606273056
117988835378
123733253168
1319a6a14537
14c87167a80
1573d714bdb
hex455053220

18606273056 has 96 divisors (see below), whose sum is σ = 42930340992. Its totient is φ = 7773511680.

The previous prime is 18606273041. The next prime is 18606273061. The reversal of 18606273056 is 65037260681.

It is a junction number, because it is equal to n+sod(n) for n = 18606272998 and 18606273016.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1449386 + ... + 1462166.

It is an arithmetic number, because the mean of its divisors is an integer number (447191052).

Almost surely, 218606273056 is an apocalyptic number.

18606273056 is a gapful number since it is divisible by the number (16) 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 18606273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21465170496).

18606273056 is an abundant number, since it is smaller than the sum of its proper divisors (24324067936).

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

18606273056 is a wasteful number, since it uses less digits than its factorization.

18606273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12962 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 18606273056 in words is "eighteen billion, six hundred six million, two hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 97 112 134 194 224 268 388 469 536 679 776 938 1072 1358 1552 1876 2144 2716 3104 3752 5432 6499 7504 10864 12781 12998 15008 21728 25562 25996 45493 51124 51992 89467 90986 102248 103984 178934 181972 204496 207968 357868 363944 408992 715736 727888 856327 1239757 1431472 1455776 1712654 2479514 2862944 3425308 4959028 5994289 6850616 8678299 9918056 11988578 13701232 17356598 19836112 23977156 27402464 34713196 39672224 47954312 69426392 83063719 95908624 138852784 166127438 191817248 277705568 332254876 581446033 664509752 1162892066 1329019504 2325784132 2658039008 4651568264 9303136528 18606273056