Search a number
-
+
63934424064 = 2103372353271
BaseRepresentation
bin111011100010110010…
…011110010000000000
320010000200220020221000
4323202302132100000
52021414203032224
645212052332000
74422232431540
oct734262362000
9203020806830
1063934424064
11251293520a5
1210483614000
13604b8cb974
143147217320
1519e2d730c9
hexee2c9e400

63934424064 has 704 divisors, whose sum is σ = 230909460480. Its totient is φ = 17079828480.

The previous prime is 63934424027. The next prime is 63934424069. The reversal of 63934424064 is 46042443936.

It is a happy number.

63934424064 is a `hidden beast` number, since 6 + 3 + 9 + 344 + 240 + 64 = 666.

It is a super-2 number, since 2×639344240642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63934424069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235920249 + ... + 235920519.

Almost surely, 263934424064 is an apocalyptic number.

63934424064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63934424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115454730240).

63934424064 is an abundant number, since it is smaller than the sum of its proper divisors (166975036416).

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

63934424064 is a wasteful number, since it uses less digits than its factorization.

63934424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 63934424064 in words is "sixty-three billion, nine hundred thirty-four million, four hundred twenty-four thousand, sixty-four".