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55403931600 = 2432521719293153
BaseRepresentation
bin110011100110010101…
…001110011111010000
312022000012021100011200
4303212111032133100
51401431401302400
641241402311200
74000650435243
oct634625163720
9168005240150
1055403931600
1121551090926
12a8a27b8500
1352bc4b85a4
1429782db25a
151693ed9b00
hexce654e7d0

55403931600 has 1440 divisors, whose sum is σ = 233149363200. Its totient is φ = 12076646400.

The previous prime is 55403931587. The next prime is 55403931601. The reversal of 55403931600 is 613930455.

55403931600 is a `hidden beast` number, since 5 + 5 + 40 + 3 + 9 + 3 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55403931601) 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 287 ways as a sum of consecutive naturals, for example, 1045357174 + ... + 1045357226.

It is an arithmetic number, because the mean of its divisors is an integer number (161909280).

Almost surely, 255403931600 is an apocalyptic number.

55403931600 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 55403931600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116574681600).

55403931600 is an abundant number, since it is smaller than the sum of its proper divisors (177745431600).

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

55403931600 is a wasteful number, since it uses less digits than its factorization.

55403931600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 55403931600 in words is "fifty-five billion, four hundred three million, nine hundred thirty-one thousand, six hundred".