Search a number
-
+
34348863585101 = 1319974831177433
BaseRepresentation
bin1111100111101011101111…
…10011111111101101001101
311111121201102100202210121112
413303311313303333231031
514000232433034210401
6201015352230341405
710143423601060532
oct763656763775515
9144551370683545
1034348863585101
11aa432a90256aa
123a29058aba865
131622112545840
1486a6cb260d89
153e875d15c3bb
hex1f3d77cffb4d

34348863585101 has 16 divisors (see below), whose sum is σ = 37177675046400. Its totient is φ = 31546714066560.

The previous prime is 34348863585019. The next prime is 34348863585109. The reversal of 34348863585101 is 10158536884343.

It is a cyclic number.

It is not a de Polignac number, because 34348863585101 - 218 = 34348863322957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34348863585109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193499081 + ... + 193676513.

It is an arithmetic number, because the mean of its divisors is an integer number (2323604690400).

Almost surely, 234348863585101 is an apocalyptic number.

It is an amenable number.

34348863585101 is a deficient number, since it is larger than the sum of its proper divisors (2828811461299).

34348863585101 is a wasteful number, since it uses less digits than its factorization.

34348863585101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252476.

The product of its (nonzero) digits is 33177600, while the sum is 59.

The spelling of 34348863585101 in words is "thirty-four trillion, three hundred forty-eight billion, eight hundred sixty-three million, five hundred eighty-five thousand, one hundred one".

Divisors: 1 13 199 2587 74831 177433 972803 2306629 14891369 35309167 193587797 459019171 13277488823 172607354699 2642220275777 34348863585101