Search a number
-
+
63998206697952 = 25331311737874153
BaseRepresentation
bin11101000110100101111100…
…11000000110000111100000
322101121011120001200000222000
432203102332120012013200
531342021311403313302
6344040211551444000
716323501136221642
oct1643227630060740
9271534501600860
1063998206697952
111943453a28436a
127217345b26600
13299300ac90747
1411b375b824892
1575eb183c931c
hex3a34be6061e0

63998206697952 has 384 divisors, whose sum is σ = 189459518814720. Its totient is φ = 21015715368960.

The previous prime is 63998206697941. The next prime is 63998206697969. The reversal of 63998206697952 is 25979660289936.

63998206697952 is a `hidden beast` number, since 6 + 399 + 82 + 0 + 6 + 69 + 7 + 95 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15410112708 + ... + 15410116860.

It is an arithmetic number, because the mean of its divisors is an integer number (493384163580).

Almost surely, 263998206697952 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 63998206697952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94729759407360).

63998206697952 is an abundant number, since it is smaller than the sum of its proper divisors (125461312116768).

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

63998206697952 is a wasteful number, since it uses less digits than its factorization.

63998206697952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5249 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 63998206697952 in words is "sixty-three trillion, nine hundred ninety-eight billion, two hundred six million, six hundred ninety-seven thousand, nine hundred fifty-two".