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55292046336 = 210344171229
BaseRepresentation
bin110011011111101010…
…011010110000000000
312021201101201222110000
4303133222122300000
51401214230440321
641222324240000
73665121432162
oct633752326000
9167641658400
1055292046336
11214a3a1186a
12a871240000
1352a22730a7
1429674d4932
151689288826
hexcdfa9ac00

55292046336 has 440 divisors, whose sum is σ = 172271262240. Its totient is φ = 17650483200.

The previous prime is 55292046311. The next prime is 55292046353. The reversal of 55292046336 is 63364029255.

55292046336 is a `hidden beast` number, since 5 + 5 + 2 + 9 + 2 + 0 + 4 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55292046291 and 55292046300.

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 39 ways as a sum of consecutive naturals, for example, 241449870 + ... + 241450098.

It is an arithmetic number, because the mean of its divisors is an integer number (391525596).

Almost surely, 255292046336 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 55292046336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86135631120).

55292046336 is an abundant number, since it is smaller than the sum of its proper divisors (116979215904).

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

55292046336 is a wasteful number, since it uses less digits than its factorization.

55292046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 55292046336 in words is "fifty-five billion, two hundred ninety-two million, forty-six thousand, three hundred thirty-six".