Search a number
-
+
12350345000535 = 3355913381115879
BaseRepresentation
bin1011001110111000100111…
…1011010011011001010111
31121201200101210000010221000
42303232021323103121113
53104322001310004120
642133400431154343
72413166030253153
oct263561173233127
947650353003830
1012350345000535
113a3182a864163
1214756b56759b3
136b782b8b3929
14309a8d1ba063
151663da3c1990
hexb3b89ed3657

12350345000535 has 64 divisors (see below), whose sum is σ = 22330168704000. Its totient is φ = 6474669344640.

The previous prime is 12350345000519. The next prime is 12350345000597. The reversal of 12350345000535 is 53500054305321.

12350345000535 is a `hidden beast` number, since 1 + 23 + 50 + 3 + 4 + 50 + 0 + 0 + 535 = 666.

It is not a de Polignac number, because 12350345000535 - 24 = 12350345000519 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12350345000535.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106521726 + ... + 106637604.

It is an arithmetic number, because the mean of its divisors is an integer number (348908886000).

Almost surely, 212350345000535 is an apocalyptic number.

12350345000535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12350345000535 is a deficient number, since it is larger than the sum of its proper divisors (9979823703465).

12350345000535 is a wasteful number, since it uses less digits than its factorization.

12350345000535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129333 (or 129327 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 12350345000535 its reverse (53500054305321), we get a palindrome (65850399305856).

The spelling of 12350345000535 in words is "twelve trillion, three hundred fifty billion, three hundred forty-five million, five hundred thirty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 27 45 59 135 177 295 531 885 1593 2655 7965 13381 40143 66905 115879 120429 200715 347637 361287 579395 602145 789479 1042911 1738185 1806435 2368437 3128733 3947395 5214555 6836861 7105311 11842185 15643665 20510583 21315933 34184305 35526555 61531749 102552915 106579665 184595247 307658745 922976235 1550576899 4651730697 7752884495 13955192091 23258653485 41865576273 69775960455 91484037041 209327881365 274452111123 457420185205 823356333369 1372260555615 2470069000107 4116781666845 12350345000535