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5600970144 = 25327111783179
BaseRepresentation
bin1010011011101100…
…00000010110100000
3112110100012202121200
411031312000112200
542432322021034
62323440121200
7255540314010
oct51566002640
915410182550
105600970144
112414668850
121103906200
136b3506c23
143b1c1bc40
1522bab6a99
hex14dd805a0

5600970144 has 576 divisors, whose sum is σ = 21398307840. Its totient is φ = 1345167360.

The previous prime is 5600970139. The next prime is 5600970181. The reversal of 5600970144 is 4410790065.

5600970144 is a `hidden beast` number, since 5 + 600 + 9 + 7 + 0 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5600970099 and 5600970108.

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 95 ways as a sum of consecutive naturals, for example, 31290247 + ... + 31290425.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 25600970144 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 5600970144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10699153920).

5600970144 is an abundant number, since it is smaller than the sum of its proper divisors (15797337696).

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

5600970144 is a wasteful number, since it uses less digits than its factorization.

5600970144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5600970144 is about 74839.6295020225. The cubic root of 5600970144 is about 1775.9105445569.

The spelling of 5600970144 in words is "five billion, six hundred million, nine hundred seventy thousand, one hundred forty-four".