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63684399768 = 23311313797967
BaseRepresentation
bin111011010011111000…
…101101001010011000
320002101021102201001220
4323103320231022120
52020411201243033
645131201412040
74413105315663
oct732370551230
9202337381056
1063684399768
1125010202150
121041393a020
13600bb7b1b2
143121d326da
1519cae36bb3
hexed3e2d298

63684399768 has 128 divisors (see below), whose sum is σ = 174638661120. Its totient is φ = 19192642560.

The previous prime is 63684399761. The next prime is 63684399799. The reversal of 63684399768 is 86799348636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63684399761) 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 31 ways as a sum of consecutive naturals, for example, 65857221 + ... + 65858187.

It is an arithmetic number, because the mean of its divisors is an integer number (1364364540).

Almost surely, 263684399768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63684399768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87319330560).

63684399768 is an abundant number, since it is smaller than the sum of its proper divisors (110954261352).

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

63684399768 is a wasteful number, since it uses less digits than its factorization.

63684399768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2093 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 69.

The spelling of 63684399768 in words is "sixty-three billion, six hundred eighty-four million, three hundred ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 313 626 797 939 967 1252 1594 1878 1934 2391 2504 2901 3188 3443 3756 3868 4782 5802 6376 6886 7512 7736 8767 9564 10329 10637 11604 13772 17534 19128 20658 21274 23208 26301 27544 31911 35068 41316 42548 52602 63822 70136 82632 85096 105204 127644 210408 249461 255288 302671 498922 605342 748383 770699 908013 997844 1210684 1496766 1541398 1816026 1995688 2312097 2421368 2744071 2993532 3082796 3329381 3632052 4624194 5488142 5987064 6165592 6658762 7264104 8232213 8477689 9248388 9988143 10976284 13317524 16464426 16955378 18496776 19976286 21952568 25433067 26635048 32928852 33910756 39952572 50866134 65857704 67821512 79905144 101732268 203464536 241228787 482457574 723686361 964915148 1447372722 1929830296 2653516657 2894745444 5307033314 5789490888 7960549971 10614066628 15921099942 21228133256 31842199884 63684399768