Search a number
-
+
64442678058 = 2351153792879
BaseRepresentation
bin111100000001000101…
…010011101100101010
320011100010021020100000
4330001011103230222
52023434311144213
645334330123430
74440643503603
oct740105235452
9204303236300
1064442678058
112536a236920
12105a5880576
1360cccb3985
14319491adaa
151a227bbc73
hexf01153b2a

64442678058 has 192 divisors, whose sum is σ = 163034726400. Its totient is φ = 18910532160.

The previous prime is 64442678057. The next prime is 64442678059. The reversal of 64442678058 is 85087624446.

It is a happy number.

64442678058 is a `hidden beast` number, since 64 + 442 + 67 + 80 + 5 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (64442678057) and next prime (64442678059).

It is a super-3 number, since 3×644426780583 (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 junction number, because it is equal to n+sod(n) for n = 64442677995 and 64442678013.

It is not an unprimeable number, because it can be changed into a prime (64442678057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22382263 + ... + 22385141.

It is an arithmetic number, because the mean of its divisors is an integer number (849139200).

Almost surely, 264442678058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64442678058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81517363200).

64442678058 is an abundant number, since it is smaller than the sum of its proper divisors (98592048342).

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

64442678058 is a wasteful number, since it uses less digits than its factorization.

64442678058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3039 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 64442678058 in words is "sixty-four billion, four hundred forty-two million, six hundred seventy-eight thousand, fifty-eight".