Search a number
-
+
5749802016 = 2537172379277
BaseRepresentation
bin1010101101011011…
…10000010000100000
3112211201021012120020
411112231300100200
543233422131031
62350314113440
7262325340120
oct52655602040
915751235506
105749802016
1124906823a2
12114571b880
137082b721a
143c78c0c80
15239bb5096
hex156b70420

5749802016 has 384 divisors, whose sum is σ = 19369082880. Its totient is φ = 1454948352.

The previous prime is 5749801997. The next prime is 5749802029. The reversal of 5749802016 is 6102089475.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 20757270 + ... + 20757546.

It is an arithmetic number, because the mean of its divisors is an integer number (50440320).

Almost surely, 25749802016 is an apocalyptic number.

5749802016 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 5749802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9684541440).

5749802016 is an abundant number, since it is smaller than the sum of its proper divisors (13619280864).

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

5749802016 is a wasteful number, since it uses less digits than its factorization.

5749802016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 5749802016 is about 75827.4489614414. The cubic root of 5749802016 is about 1791.5033733546.

The spelling of 5749802016 in words is "five billion, seven hundred forty-nine million, eight hundred two thousand, sixteen".