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63834284340 = 22325354634913
BaseRepresentation
bin111011011100110100…
…011110000100110100
320002202201110122001100
4323130310132010310
52021213034044330
645154114130100
74416605315151
oct733464360464
9202681418040
1063834284340
11250878756a2
1210455b80930
136033c396a8
143137bcb228
1519d9192060
hexedcd1e134

63834284340 has 36 divisors (see below), whose sum is σ = 193630663044. Its totient is φ = 17022475776.

The previous prime is 63834284333. The next prime is 63834284359. The reversal of 63834284340 is 4348243836.

63834284340 is a `hidden beast` number, since 638 + 3 + 4 + 2 + 8 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10589644836 + 53244639504 = 102906^2 + 230748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 177317277 + ... + 177317636.

It is an arithmetic number, because the mean of its divisors is an integer number (5378629529).

Almost surely, 263834284340 is an apocalyptic number.

63834284340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63834284340 is an abundant number, since it is smaller than the sum of its proper divisors (129796378704).

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

63834284340 is a wasteful number, since it uses less digits than its factorization.

63834284340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354634928 (or 354634923 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 63834284340 in words is "sixty-three billion, eight hundred thirty-four million, two hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 354634913 709269826 1063904739 1418539652 1773174565 2127809478 3191714217 3546349130 4255618956 5319523695 6383428434 7092698260 10639047390 12766856868 15958571085 21278094780 31917142170 63834284340