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5387842656 = 25357312103
BaseRepresentation
bin1010000010010001…
…11111010001100000
3111220111011202200000
411001020333101200
542013241431111
62250344100000
7250341623040
oct50110772140
914814152600
105387842656
112315329a29
121064464600
1367b3046a1
143917bd720
15218017c56
hex14123f460

5387842656 has 432 divisors, whose sum is σ = 18945868032. Its totient is φ = 1475262720.

The previous prime is 5387842651. The next prime is 5387842699. The reversal of 5387842656 is 6562487835.

5387842656 is a `hidden beast` number, since 538 + 7 + 8 + 42 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5387842651) 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 71 ways as a sum of consecutive naturals, for example, 52309101 + ... + 52309203.

It is an arithmetic number, because the mean of its divisors is an integer number (43856176).

Almost surely, 25387842656 is an apocalyptic number.

5387842656 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 5387842656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9472934016).

5387842656 is an abundant number, since it is smaller than the sum of its proper divisors (13558025376).

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

5387842656 is a wasteful number, since it uses less digits than its factorization.

5387842656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 146 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 5387842656 is about 73401.9254243375. The cubic root of 5387842656 is about 1753.0930503257.

The spelling of 5387842656 in words is "five billion, three hundred eighty-seven million, eight hundred forty-two thousand, six hundred fifty-six".