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34854645843 = 332953437153
BaseRepresentation
bin100000011101011111…
…111011000001010011
310022222002011110112000
4200131133323001103
51032340242131333
624002332005043
72342505413163
oct403537730123
9108862143460
1034854645843
11138665a2336
126908900783
1333960905c4
1419890b05a3
15d8ee1c713
hex81d7fb053

34854645843 has 16 divisors (see below), whose sum is σ = 51654116640. Its totient is φ = 23228508672.

The previous prime is 34854645841. The next prime is 34854645883.

34854645843 is a `hidden beast` number, since 3 + 4 + 8 + 54 + 6 + 4 + 584 + 3 = 666.

34854645843 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34854645843 - 21 = 34854645841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34854645843.

It is not an unprimeable number, because it can be changed into a prime (34854645841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138846 + ... + 298307.

It is an arithmetic number, because the mean of its divisors is an integer number (3228382290).

Almost surely, 234854645843 is an apocalyptic number.

34854645843 is a deficient number, since it is larger than the sum of its proper divisors (16799470797).

34854645843 is a wasteful number, since it uses less digits than its factorization.

34854645843 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440115 (or 440109 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 54.

The spelling of 34854645843 in words is "thirty-four billion, eight hundred fifty-four million, six hundred forty-five thousand, eight hundred forty-three".

Divisors: 1 3 9 27 2953 8859 26577 79731 437153 1311459 3934377 11803131 1290912809 3872738427 11618215281 34854645843