Search a number
-
+
65346206976 = 28361743479
BaseRepresentation
bin111100110110111011…
…111111110100000000
320020200002102021000000
4330312323333310000
52032312112110401
650004124000000
74502224410651
oct746673776400
9206602367000
1065346206976
1125793259536
12107b8390000
13621524467b
14323c915528
151a76c94186
hexf36effd00

65346206976 has 504 divisors, whose sum is σ = 212328103680. Its totient is φ = 19982204928.

The previous prime is 65346206971. The next prime is 65346206977. The reversal of 65346206976 is 67960264356.

65346206976 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 620 + 6 + 9 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65346206971) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 136421905 + ... + 136422383.

It is an arithmetic number, because the mean of its divisors is an integer number (421285920).

Almost surely, 265346206976 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 65346206976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106164051840).

65346206976 is an abundant number, since it is smaller than the sum of its proper divisors (146981896704).

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

65346206976 is an equidigital number, since it uses as much as digits as its factorization.

65346206976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 65346206976 in words is "sixty-five billion, three hundred forty-six million, two hundred six thousand, nine hundred seventy-six".