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345182682801 = 31110460081297
BaseRepresentation
bin1010000010111100111…
…11011011111010110001
31012222222101010010111110
411001132133123322301
521123413231322201
6422324050503533
733636643251465
oct5013637337261
91188871103443
10345182682801
11123433697670
1256a94b94ba9
1326720842a88
14129c7b664a5
158ea41856d6
hex505e7dbeb1

345182682801 has 8 divisors (see below), whose sum is σ = 502083902304. Its totient is φ = 209201625920.

The previous prime is 345182682787. The next prime is 345182682853. The reversal of 345182682801 is 108286281543.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 345182682801 - 29 = 345182682289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (345182682601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5230040616 + ... + 5230040681.

It is an arithmetic number, because the mean of its divisors is an integer number (62760487788).

Almost surely, 2345182682801 is an apocalyptic number.

It is an amenable number.

345182682801 is a deficient number, since it is larger than the sum of its proper divisors (156901219503).

345182682801 is a wasteful number, since it uses less digits than its factorization.

345182682801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460081311.

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 345182682801 in words is "three hundred forty-five billion, one hundred eighty-two million, six hundred eighty-two thousand, eight hundred one".

Divisors: 1 3 11 33 10460081297 31380243891 115060894267 345182682801