Search a number
-
+
38394129774 = 237111317523719
BaseRepresentation
bin100011110000011101…
…111110110101101110
310200002202022212200110
4203300131332311232
51112112344123044
625345451240450
72526304501260
oct436035766556
9120082285613
1038394129774
1115312537a70
127536149126
13380b4728b0
141c031c9b30
15eeaa286b9
hex8f077ed6e

38394129774 has 256 divisors, whose sum is σ = 109525893120. Its totient is φ = 8635299840.

The previous prime is 38394129773. The next prime is 38394129803. The reversal of 38394129774 is 47792149383.

It is a happy number.

It is a super-2 number, since 2×383941297742 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38394129773) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53398987 + ... + 53399705.

It is an arithmetic number, because the mean of its divisors is an integer number (427835520).

Almost surely, 238394129774 is an apocalyptic number.

38394129774 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38394129774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54762946560).

38394129774 is an abundant number, since it is smaller than the sum of its proper divisors (71131763346).

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

38394129774 is a wasteful number, since it uses less digits than its factorization.

38394129774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295.

The product of its digits is 9144576, while the sum is 57.

The spelling of 38394129774 in words is "thirty-eight billion, three hundred ninety-four million, one hundred twenty-nine thousand, seven hundred seventy-four".