Search a number
-
+
16338844704 = 25371317110017
BaseRepresentation
bin11110011011101111…
…01111110000100000
31120011200102022100110
433031313233300200
5231430221012304
611301142051320
71115614613520
oct171567576040
946150368313
1016338844704
116a24940946
1231bba19b40
131705034a60
14b0dd77680
15659629289
hex3cddefc20

16338844704 has 192 divisors, whose sum is σ = 55892664576. Its totient is φ = 4055629824.

The previous prime is 16338844703. The next prime is 16338844747. The reversal of 16338844704 is 40744883361.

It is a happy number.

It is a super-2 number, since 2×163388447042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (16338844703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93504 + ... + 203520.

It is an arithmetic number, because the mean of its divisors is an integer number (291107628).

Almost surely, 216338844704 is an apocalyptic number.

16338844704 is a gapful number since it is divisible by the number (14) 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 16338844704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27946332288).

16338844704 is an abundant number, since it is smaller than the sum of its proper divisors (39553819872).

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

16338844704 is a wasteful number, since it uses less digits than its factorization.

16338844704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110067 (or 110059 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 16338844704 in words is "sixteen billion, three hundred thirty-eight million, eight hundred forty-four thousand, seven hundred four".