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63234224064 = 263211196179109
BaseRepresentation
bin111010111001000011…
…011010111111000000
320001012220100102002200
4322321003122333000
52014000430132224
645014400513200
74366001015244
oct727103327700
9201186312080
1063234224064
11248aa086510
121030901b800
135c6981c53b
1430bc22a424
1519a16615c9
hexeb90dafc0

63234224064 has 672 divisors, whose sum is σ = 216188544000. Its totient is φ = 17468006400.

The previous prime is 63234224041. The next prime is 63234224069. The reversal of 63234224064 is 46042243236.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63234224069) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 580130442 + ... + 580130550.

Almost surely, 263234224064 is an apocalyptic number.

63234224064 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 63234224064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108094272000).

63234224064 is an abundant number, since it is smaller than the sum of its proper divisors (152954319936).

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

63234224064 is a wasteful number, since it uses less digits than its factorization.

63234224064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 63234224064 in words is "sixty-three billion, two hundred thirty-four million, two hundred twenty-four thousand, sixty-four".