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305805317152 = 2541233083321
BaseRepresentation
bin1000111001100110110…
…10101101010000100000
31002020100002122200202111
410130303122231100200
520002242130122102
6352252433125104
731044066210256
oct4346332552040
91066302580674
10305805317152
11108767146a75
124b3256b9794
1322ab678260a
1410b301545d6
157e4c18ccd7
hex47336ad420

305805317152 has 24 divisors (see below), whose sum is σ = 616738470012. Its totient is φ = 149173324800.

The previous prime is 305805317107. The next prime is 305805317177. The reversal of 305805317152 is 251713508503.

It can be written as a sum of positive squares in 2 ways, for example, as 217189553296 + 88615763856 = 466036^2 + 297684^2 .

It is a super-2 number, since 2×3058053171522 (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 116540349 + ... + 116542972.

Almost surely, 2305805317152 is an apocalyptic number.

305805317152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

305805317152 is an abundant number, since it is smaller than the sum of its proper divisors (310933152860).

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

305805317152 is a wasteful number, since it uses less digits than its factorization.

305805317152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233083372 (or 233083364 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 305805317152 in words is "three hundred five billion, eight hundred five million, three hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 233083321 466166642 932333284 1864666568 3729333136 7458666272 9556416161 19112832322 38225664644 76451329288 152902658576 305805317152