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5643385344 = 293567677
BaseRepresentation
bin1010100000101111…
…10011101000000000
3112120022000200100000
411100113303220000
543024201312334
62331553200000
7256563661332
oct52027635000
915508020300
105643385344
1124365a8a33
121115b60000
136bc237b8c
143b76dd452
15230694299
hex1505f3a00

5643385344 has 240 divisors, whose sum is σ = 17167838688. Its totient is φ = 1850314752.

The previous prime is 5643385343. The next prime is 5643385351. The reversal of 5643385344 is 4435833465.

5643385344 is a `hidden beast` number, since 564 + 3 + 3 + 85 + 3 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5643385344.

It is not an unprimeable number, because it can be changed into a prime (5643385343) 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 23 ways as a sum of consecutive naturals, for example, 8335534 + ... + 8336210.

Almost surely, 25643385344 is an apocalyptic number.

5643385344 is a gapful number since it is divisible by the number (54) 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 5643385344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8583919344).

5643385344 is an abundant number, since it is smaller than the sum of its proper divisors (11524453344).

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

5643385344 is an frugal number, since it uses more digits than its factorization.

5643385344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 749 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 5643385344 is about 75122.4689690109. The cubic root of 5643385344 is about 1780.3821659758.

The spelling of 5643385344 in words is "five billion, six hundred forty-three million, three hundred eighty-five thousand, three hundred forty-four".