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5687117280 = 2532513461659
BaseRepresentation
bin1010100101111101…
…01000010111100000
3112200100022111021100
411102332220113200
543121400223110
62340154354400
7260634461565
oct52276502740
915610274240
105687117280
112459258429
12112872ba00
136c830a270
143bd44486c
15234431bc0
hex152fa85e0

5687117280 has 288 divisors, whose sum is σ = 20977276320. Its totient is φ = 1394749440.

The previous prime is 5687117273. The next prime is 5687117309. The reversal of 5687117280 is 827117865.

It is a happy number.

5687117280 is a `hidden beast` number, since 568 + 7 + 1 + 1 + 7 + 2 + 80 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8629591 + ... + 8630249.

It is an arithmetic number, because the mean of its divisors is an integer number (72837765).

Almost surely, 25687117280 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 5687117280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488638160).

5687117280 is an abundant number, since it is smaller than the sum of its proper divisors (15290159040).

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

5687117280 is a wasteful number, since it uses less digits than its factorization.

5687117280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 5687117280 is about 75412.9781934118. The cubic root of 5687117280 is about 1784.9692059749.

The spelling of 5687117280 in words is "five billion, six hundred eighty-seven million, one hundred seventeen thousand, two hundred eighty".