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34272605137 = 1913713166579
BaseRepresentation
bin11111111010110011…
…100111001111010001
310021110111221201202211
4133322303213033101
51030142241331022
623424500512121
72322210223411
oct377263471721
9107414851684
1034272605137
1113597aa0561
1267859ab641
133302612314
141931a80641
15d58c9ae77
hex7face73d1

34272605137 has 8 divisors (see below), whose sum is σ = 36339760800. Its totient is φ = 32231782944.

The previous prime is 34272605119. The next prime is 34272605153. The reversal of 34272605137 is 73150627243.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34272605137 is a prime.

It is a super-2 number, since 2×342726051372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34272605137.

It is not an unprimeable number, because it can be changed into a prime (34272605177) 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, 6580687 + ... + 6585892.

It is an arithmetic number, because the mean of its divisors is an integer number (4542470100).

Almost surely, 234272605137 is an apocalyptic number.

It is an amenable number.

34272605137 is a deficient number, since it is larger than the sum of its proper divisors (2067155663).

34272605137 is a wasteful number, since it uses less digits than its factorization.

34272605137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13166735.

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 34272605137 in words is "thirty-four billion, two hundred seventy-two million, six hundred five thousand, one hundred thirty-seven".

Divisors: 1 19 137 2603 13166579 250165001 1803821323 34272605137