Search a number
-
+
18528331072 = 262919935009
BaseRepresentation
bin10001010000010111…
…111110010101000000
31202211021022202000011
4101100113332111000
5300421223043242
612302314234304
71224102133636
oct212027762500
952737282004
1018528331072
11794883a409
123711125994
131993824b14
14c7aa79356
1573696ad17
hex4505fe540

18528331072 has 56 divisors (see below), whose sum is σ = 38061671400. Its totient is φ = 8938438656.

The previous prime is 18528331057. The next prime is 18528331091. The reversal of 18528331072 is 27013382581.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4437691456 + 14090639616 = 66616^2 + 118704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3696504 + ... + 3701512.

Almost surely, 218528331072 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 18528331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030835700).

18528331072 is an abundant number, since it is smaller than the sum of its proper divisors (19533340328).

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

18528331072 is a wasteful number, since it uses less digits than its factorization.

18528331072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043 (or 7033 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 18528331072 in words is "eighteen billion, five hundred twenty-eight million, three hundred thirty-one thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 1993 3986 5009 7972 10018 15944 20036 31888 40072 57797 63776 80144 115594 127552 145261 160288 231188 290522 320576 462376 581044 924752 1162088 1849504 2324176 3699008 4648352 9296704 9982937 19965874 39931748 79863496 159726992 289505173 319453984 579010346 638907968 1158020692 2316041384 4632082768 9264165536 18528331072