Search a number
-
+
5069990016 = 2733741347
BaseRepresentation
bin1001011100011000…
…11110100010000000
3111002100002011211000
410232030132202000
540340404140031
62155031252000
7236432130000
oct45614364200
914070064730
105069990016
1121719715a3
12b95b1a000
1362a4c59c0
143614c0000
151ea17e3e6
hex12e31e880

5069990016 has 640 divisors, whose sum is σ = 19199174400. Its totient is φ = 1308690432.

The previous prime is 5069989961. The next prime is 5069990033. The reversal of 5069990016 is 6100999605.

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 79 ways as a sum of consecutive naturals, for example, 107872105 + ... + 107872151.

It is an arithmetic number, because the mean of its divisors is an integer number (29998710).

Almost surely, 25069990016 is an apocalyptic number.

5069990016 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 5069990016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599587200).

5069990016 is an abundant number, since it is smaller than the sum of its proper divisors (14129184384).

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

5069990016 is an equidigital number, since it uses as much as digits as its factorization.

5069990016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 5069990016 is about 71203.8623671497. The cubic root of 5069990016 is about 1717.9177542559.

It can be divided in two parts, 50699 and 90016, that added together give a triangular number (140715 = T530).

The spelling of 5069990016 in words is "five billion, sixty-nine million, nine hundred ninety thousand, sixteen".