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63986868936 = 233219223349601
BaseRepresentation
bin111011100101111010…
…100010001011001000
320010011100120201202200
4323211322202023020
52022021114301221
645221204400200
74423440261204
oct734572421310
9203140521680
1063986868936
1125155a12771
12104990a6060
136059731b33
143150189b04
1519e7782426
hexee5ea22c8

63986868936 has 192 divisors, whose sum is σ = 184067520000. Its totient is φ = 20024755200.

The previous prime is 63986868919. The next prime is 63986868937.

63986868936 is nontrivially palindromic in base 10.

63986868936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (63986868937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106467036 + ... + 106467636.

It is an arithmetic number, because the mean of its divisors is an integer number (958685000).

Almost surely, 263986868936 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 63986868936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92033760000).

63986868936 is an abundant number, since it is smaller than the sum of its proper divisors (120080651064).

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

63986868936 is a wasteful number, since it uses less digits than its factorization.

63986868936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1197 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 63986868936 in words is "sixty-three billion, nine hundred eighty-six million, eight hundred sixty-eight thousand, nine hundred thirty-six".