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56642424664 = 23759161910589
BaseRepresentation
bin110100110000001001…
…101100111101011000
312102012111201022021011
4310300021230331120
51412000430042124
642004323423304
74043436444220
oct646011547530
9172174638234
1056642424664
1122027199011
12ab89524b34
135458c69717
142a549ab080
151717aca994
hexd3026cf58

56642424664 has 64 divisors (see below), whose sum is σ = 123521760000. Its totient is φ = 23846886528.

The previous prime is 56642424647. The next prime is 56642424703. The reversal of 56642424664 is 46642424665.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5343882 + ... + 5354470.

It is an arithmetic number, because the mean of its divisors is an integer number (1930027500).

Almost surely, 256642424664 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 56642424664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61760880000).

56642424664 is an abundant number, since it is smaller than the sum of its proper divisors (66879335336).

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

56642424664 is a wasteful number, since it uses less digits than its factorization.

56642424664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12280 (or 12276 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 49.

Subtracting from 56642424664 its reverse (46642424665), we obtain a palindrome (9999999999).

The spelling of 56642424664 in words is "fifty-six billion, six hundred forty-two million, four hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1619 1652 3238 3304 6476 10589 11333 12952 21178 22666 42356 45332 74123 84712 90664 95521 148246 191042 296492 382084 592984 624751 668647 764168 1249502 1337294 2499004 2674588 4373257 4998008 5349176 8746514 17143591 17493028 34287182 34986056 68574364 120005137 137148728 240010274 480020548 960041096 1011471869 2022943738 4045887476 7080303083 8091774952 14160606166 28321212332 56642424664