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5427630936 = 23337131737439
BaseRepresentation
bin1010000111000001…
…10001001101011000
3112000021001012221000
411003200301031120
542103433142221
62254324545000
7251334046620
oct50340611530
915007035830
105427630936
112335835502
121075852160
13686625a50
14396bb9880
1521b776e26
hex143831358

5427630936 has 512 divisors, whose sum is σ = 20224512000. Its totient is φ = 1307860992.

The previous prime is 5427630917. The next prime is 5427630947. The reversal of 5427630936 is 6390367245.

5427630936 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 630 + 9 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5427630891 and 5427630900.

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 127 ways as a sum of consecutive naturals, for example, 12363405 + ... + 12363843.

It is an arithmetic number, because the mean of its divisors is an integer number (39501000).

Almost surely, 25427630936 is an apocalyptic number.

5427630936 is a gapful number since it is divisible by the number (56) 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 5427630936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112256000).

5427630936 is an abundant number, since it is smaller than the sum of its proper divisors (14796881064).

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

5427630936 is a wasteful number, since it uses less digits than its factorization.

5427630936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5427630936 is about 73672.4571057597. The cubic root of 5427630936 is about 1757.3978997861.

The spelling of 5427630936 in words is "five billion, four hundred twenty-seven million, six hundred thirty thousand, nine hundred thirty-six".