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55463831136 = 2534729310433
BaseRepresentation
bin110011101001111001…
…101110011001100000
312022011100222112220000
4303221321232121200
51402042220044021
641251342220000
74002305533410
oct635171563140
9168140875800
1055463831136
112158198327a
12a8ba884600
1352cba2b8bc
142982250640
1516993bcb26
hexce9e6e660

55463831136 has 240 divisors, whose sum is σ = 187074274464. Its totient is φ = 15791210496.

The previous prime is 55463831119. The next prime is 55463831167. The reversal of 55463831136 is 63113836455.

55463831136 is a `hidden beast` number, since 5 + 5 + 4 + 638 + 3 + 1 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55463831091 and 55463831100.

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 39 ways as a sum of consecutive naturals, for example, 5310976 + ... + 5321408.

Almost surely, 255463831136 is an apocalyptic number.

55463831136 is a gapful number since it is divisible by the number (56) 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 55463831136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93537137232).

55463831136 is an abundant number, since it is smaller than the sum of its proper divisors (131610443328).

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

55463831136 is a wasteful number, since it uses less digits than its factorization.

55463831136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10755 (or 10738 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 55463831136 in words is "fifty-five billion, four hundred sixty-three million, eight hundred thirty-one thousand, one hundred thirty-six".