Search a number
-
+
64330346515314 = 231110122974201357
BaseRepresentation
bin11101010000010000100110…
…11100111100101101110010
322102202220212110022221200010
432220020103130330231302
531412442022201442224
6344452541520435350
716356466646124615
oct1650102334745562
9272686773287603
1064330346515314
111955238a5790a0
12726b79aa78b56
1329b84305a3959
1411c586926417c
157685a7491e29
hex3a821373cb72

64330346515314 has 64 divisors (see below), whose sum is σ = 141808537406592. Its totient is φ = 19292626752000.

The previous prime is 64330346515291. The next prime is 64330346515333. The reversal of 64330346515314 is 41351564303346.

It is a happy number.

64330346515314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13211124 + ... + 17412480.

It is an arithmetic number, because the mean of its divisors is an integer number (2215758396978).

Almost surely, 264330346515314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64330346515314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70904268703296).

64330346515314 is an abundant number, since it is smaller than the sum of its proper divisors (77478190891278).

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

64330346515314 is a wasteful number, since it uses less digits than its factorization.

64330346515314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203771.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 64330346515314 in words is "sixty-four trillion, three hundred thirty billion, three hundred forty-six million, five hundred fifteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 2297 3333 4594 6666 6891 13782 25267 50534 75801 151602 231997 463994 695991 1391982 2551967 4201357 5103934 7655901 8402714 12604071 15311802 25208142 46214927 92429854 138644781 277289562 424337057 848674114 1273011171 2546022342 4667707627 9335415254 9650517029 14003122881 19301034058 28006245762 28951551087 57903102174 106155687319 212311374638 318467061957 636934123914 974702219929 1949404439858 2924106659787 5848213319574 10721724419219 21443448838438 32165173257657 64330346515314