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18022794001 = 1725321492
BaseRepresentation
bin10000110010001111…
…100000001100010001
31201112001001210111221
4100302033200030101
5243402313402001
612140215005041
71205423135632
oct206217401421
951461053457
1018022794001
117709440983
1235ab969781
131912b81664
14c2d881889
157073ac1a1
hex4323e0311

18022794001 has 27 divisors (see below), whose sum is σ = 19645210291. Its totient is φ = 16530884864.

The previous prime is 18022793977. The next prime is 18022794011. The reversal of 18022794001 is 10049722081.

The square root of 18022794001 is 134249.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 7430267601 + 10592526400 = 86199^2 + 102920^2 .

It is not a de Polignac number, because 18022794001 - 25 = 18022793969 is a prime.

It is a super-2 number, since 2×180227940012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18022794011) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 120958275 + ... + 120958423.

Almost surely, 218022794001 is an apocalyptic number.

18022794001 is the 134249-th square number.

18022794001 is the 67125-th centered octagonal number.

It is an amenable number.

18022794001 is a deficient number, since it is larger than the sum of its proper divisors (1622416290).

18022794001 is an frugal number, since it uses more digits than its factorization.

18022794001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 18022794001 in words is "eighteen billion, twenty-two million, seven hundred ninety-four thousand, one".

Divisors: 1 17 53 149 289 901 2533 2809 7897 15317 22201 43061 47753 134249 377417 418541 811801 1176653 2282233 6416089 7115197 20003101 62362609 120958349 340052717 1060164353 18022794001