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56632400000 = 27551161211
BaseRepresentation
bin110100101111100011…
…011101100010000000
312102011210212000000022
4310233203131202000
51411440343300000
642003324513012
74043255312621
oct645743354200
9172153760008
1056632400000
1122021571370
12ab860ab768
135456b69877
142a5351ba48
151716c9a585
hexd2f8dd880

56632400000 has 384 divisors, whose sum is σ = 157101819840. Its totient is φ = 20160000000.

The previous prime is 56632399961. The next prime is 56632400021. The reversal of 56632400000 is 423665.

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 47 ways as a sum of consecutive naturals, for example, 268399895 + ... + 268400105.

Almost surely, 256632400000 is an apocalyptic number.

56632400000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56632400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78550909920).

56632400000 is an abundant number, since it is smaller than the sum of its proper divisors (100469419840).

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

56632400000 is an equidigital number, since it uses as much as digits as its factorization.

56632400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 56632400000 its reverse (423665), we get a palindrome (56632823665).

The spelling of 56632400000 in words is "fifty-six billion, six hundred thirty-two million, four hundred thousand".