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63235434240 = 2833511181919
BaseRepresentation
bin111010111001001000…
…000010011100000000
320001012222121220011000
4322321020002130000
52014001232343430
645014442452000
74366014215406
oct727110023400
9201188556130
1063235434240
11248aa832760
1210309504000
135c69b54314
1430bc463476
1519a17eee60
hexeb9202700

63235434240 has 576 divisors, whose sum is σ = 246418099200. Its totient is φ = 15228518400.

The previous prime is 63235434209. The next prime is 63235434257. The reversal of 63235434240 is 4243453236.

63235434240 is a `hidden beast` number, since 6 + 32 + 3 + 543 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 63235434195 and 63235434204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68808501 + ... + 68809419.

It is an arithmetic number, because the mean of its divisors is an integer number (427809200).

Almost surely, 263235434240 is an apocalyptic number.

63235434240 is a gapful number since it is divisible by the number (60) 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 63235434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123209049600).

63235434240 is an abundant number, since it is smaller than the sum of its proper divisors (183182664960).

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

63235434240 is a wasteful number, since it uses less digits than its factorization.

63235434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 63235434240 its reverse (4243453236), we get a palindrome (67478887476).

The spelling of 63235434240 in words is "sixty-three billion, two hundred thirty-five million, four hundred thirty-four thousand, two hundred forty".