Search a number
-
+
63867972096 = 293323376189
BaseRepresentation
bin111011011110110100…
…111110101000000000
320002212001212010222000
4323132310332220000
52021300200101341
645201320144000
74420464543165
oct733664765000
9202761763860
1063867972096
11250a4894815
1210465308000
13603ac03086
14313c47a06c
1519dc0e88b6
hexeded3ea00

63867972096 has 640 divisors, whose sum is σ = 208240243200. Its totient is φ = 19269550080.

The previous prime is 63867972089. The next prime is 63867972139. The reversal of 63867972096 is 69027976836.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 717617620 + ... + 717617708.

It is an arithmetic number, because the mean of its divisors is an integer number (325375380).

Almost surely, 263867972096 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 63867972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104120121600).

63867972096 is an abundant number, since it is smaller than the sum of its proper divisors (144372271104).

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

63867972096 is a wasteful number, since it uses less digits than its factorization.

63867972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 63867972096 in words is "sixty-three billion, eight hundred sixty-seven million, nine hundred seventy-two thousand, ninety-six".