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5530461300 = 2235527134161
BaseRepresentation
bin1010010011010010…
…00010010001110100
3112021102112112200000
411021221002101310
542311244230200
62312440551300
7254023100610
oct51151022164
915242475600
105530461300
11238888a481
1210a4182530
136a1a1a910
143a6706340
152257da300
hex149a42474

5530461300 has 864 divisors, whose sum is σ = 23036692224. Its totient is φ = 1119744000.

The previous prime is 5530461289. The next prime is 5530461311. The reversal of 5530461300 is 31640355.

5530461300 is a `hidden beast` number, since 55 + 304 + 6 + 1 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (5530461289) and next prime (5530461311).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90663270 + ... + 90663330.

Almost surely, 25530461300 is an apocalyptic number.

5530461300 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 5530461300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11518346112).

5530461300 is an abundant number, since it is smaller than the sum of its proper divisors (17506230924).

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

5530461300 is a wasteful number, since it uses less digits than its factorization.

5530461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5530461300 is about 74367.0713420933. The cubic root of 5530461300 is about 1768.4269275533.

The spelling of 5530461300 in words is "five billion, five hundred thirty million, four hundred sixty-one thousand, three hundred".