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34620355302643 = 1119565129312977
BaseRepresentation
bin1111101111100101011011…
…11110101101010011110011
311112120200012002100000202101
413313302231332231103303
514014204441424141033
6201344212140201231
710202144451435115
oct767625576552363
9145520162300671
1034620355302643
1110038457021390
123a717a6b39217
1316418bb061756
148798c41033b5
1540084cb5297d
hex1f7cadfad4f3

34620355302643 has 16 divisors (see below), whose sum is σ = 39762468397440. Its totient is φ = 29811296592000.

The previous prime is 34620355302641. The next prime is 34620355302667.

34620355302643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34620355302643 - 21 = 34620355302641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34620355302593 and 34620355302602.

It is not an unprimeable number, because it can be changed into a prime (34620355302641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13475430 + ... + 15837547.

It is an arithmetic number, because the mean of its divisors is an integer number (2485154274840).

Almost surely, 234620355302643 is an apocalyptic number.

34620355302643 is a deficient number, since it is larger than the sum of its proper divisors (5142113094797).

34620355302643 is a wasteful number, since it uses less digits than its factorization.

34620355302643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29318658.

The product of its (nonzero) digits is 4665600, while the sum is 46.

It can be divided in two parts, 3462035 and 5302643, that added together give a palindrome (8764678).

The spelling of 34620355302643 in words is "thirty-four trillion, six hundred twenty billion, three hundred fifty-five million, three hundred two thousand, six hundred forty-three".

Divisors: 1 11 19 209 5651 62161 107369 1181059 29312977 322442747 556946563 6126412193 165647633027 1822123963297 3147305027513 34620355302643