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34641814644 = 223611879909
BaseRepresentation
bin100000010000110100…
…000010010001110100
310022102020200112000000
4200100310002101310
51031421301032034
623525250151300
72334312365103
oct402064022164
9108366615000
1034641814644
1113767446088
126869582530
133360c62b98
141968b0c03a
15d7b3cb599
hex810d02474

34641814644 has 42 divisors (see below), whose sum is σ = 90893191410. Its totient is φ = 11547270576.

The previous prime is 34641814631. The next prime is 34641814673. The reversal of 34641814644 is 44641814643.

34641814644 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 181 + 464 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18152172900 + 16489641744 = 134730^2 + 128412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34641814644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5937039 + ... + 5942870.

It is an arithmetic number, because the mean of its divisors is an integer number (2164123605).

Almost surely, 234641814644 is an apocalyptic number.

It is an amenable number.

34641814644 is an abundant number, since it is smaller than the sum of its proper divisors (56251376766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34641814644 is a wasteful number, since it uses less digits than its factorization.

34641814644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879931 (or 11879914 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

Subtracting 34641814644 from its reverse (44641814643), we obtain a palindrome (9999999999).

The spelling of 34641814644 in words is "thirty-four billion, six hundred forty-one million, eight hundred fourteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 11879909 23759818 35639727 47519636 71279454 106919181 142558908 213838362 320757543 427676724 641515086 962272629 1283030172 1924545258 2886817887 3849090516 5773635774 8660453661 11547271548 17320907322 34641814644