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5597040384 = 283713769
BaseRepresentation
bin1010011011001110…
…00000111100000000
3112110001211010000000
411031213000330000
542430320243014
62323220000000
7255462025665
oct51547007400
915401733000
105597040384
112412424311
121102530000
136b275c320
143b14b7a6c
1522b58c509
hex14d9c0f00

5597040384 has 288 divisors, whose sum is σ = 18068142400. Its totient is φ = 1719926784.

The previous prime is 5597040377. The next prime is 5597040389. The reversal of 5597040384 is 4830407955.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×55970403842 = 62653722120253734912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5597040389) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7277952 + ... + 7278720.

Almost surely, 25597040384 is an apocalyptic number.

5597040384 is a gapful number since it is divisible by the number (54) 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 5597040384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9034071200).

5597040384 is an abundant number, since it is smaller than the sum of its proper divisors (12471102016).

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

5597040384 is an frugal number, since it uses more digits than its factorization.

5597040384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5597040384 is about 74813.3703558395. The cubic root of 5597040384 is about 1775.4951084889.

The spelling of 5597040384 in words is "five billion, five hundred ninety-seven million, forty thousand, three hundred eighty-four".