Search a number
-
+
64334638368 = 253371113731019
BaseRepresentation
bin111011111010101001…
…001010110100100000
320011001120222020202000
4323322221022310200
52023224131411433
645315510324000
74435162255230
oct737251126440
9204046866660
1064334638368
1125314254020
1210575659600
1360b37b6970
143184435cc0
151a1807a113
hexefaa4ad20

64334638368 has 768 divisors, whose sum is σ = 255641702400. Its totient is φ = 15198658560.

The previous prime is 64334638363. The next prime is 64334638373. The reversal of 64334638368 is 86383643346.

64334638368 is a `hidden beast` number, since 6 + 43 + 3 + 463 + 83 + 68 = 666.

64334638368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64334638363) and next prime (64334638373).

It is a super-3 number, since 3×643346383683 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (64334638363) 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, 63134563 + ... + 63135581.

It is an arithmetic number, because the mean of its divisors is an integer number (332866800).

Almost surely, 264334638368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64334638368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127820851200).

64334638368 is an abundant number, since it is smaller than the sum of its proper divisors (191307064032).

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

64334638368 is a wasteful number, since it uses less digits than its factorization.

64334638368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1128 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 54.

The spelling of 64334638368 in words is "sixty-four billion, three hundred thirty-four million, six hundred thirty-eight thousand, three hundred sixty-eight".