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5675982336 = 293737137
BaseRepresentation
bin1010100100101000…
…01001111000000000
3112122120100210000000
411102110021320000
543111022413321
62335120000000
7260441024313
oct52224117000
915576323000
105675982336
112452a425a2
121124a60000
136c5c0bc3b
143bbb8697a
15233482826
hex152509e00

5675982336 has 320 divisors, whose sum is σ = 17595927360. Its totient is φ = 1827422208.

The previous prime is 5675982331. The next prime is 5675982349. The reversal of 5675982336 is 6332895765.

It is a happy number.

5675982336 is a `hidden beast` number, since 567 + 59 + 8 + 23 + 3 + 6 = 666.

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 (5675982331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41430460 + ... + 41430596.

It is an arithmetic number, because the mean of its divisors is an integer number (54987273).

Almost surely, 25675982336 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 5675982336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8797963680).

5675982336 is an abundant number, since it is smaller than the sum of its proper divisors (11919945024).

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

5675982336 is an frugal number, since it uses more digits than its factorization.

5675982336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 5675982336 is about 75339.1155775006. The cubic root of 5675982336 is about 1783.8035001118.

The spelling of 5675982336 in words is "five billion, six hundred seventy-five million, nine hundred eighty-two thousand, three hundred thirty-six".