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5634242064 = 2434112193161
BaseRepresentation
bin1010011111101001…
…11011011000010000
3112112122211011010000
411033310323120100
543014331221224
62331025210000
7256423160463
oct51764733020
915478734100
105634242064
112431423500
121112a90900
136ba386259
143b63dd2da
1522e98a0c9
hex14fd3b610

5634242064 has 600 divisors, whose sum is σ = 19795677440. Its totient is φ = 1539648000.

The previous prime is 5634242063. The next prime is 5634242071. The reversal of 5634242064 is 4602424365.

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

It is not an unprimeable number, because it can be changed into a prime (5634242063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92364594 + ... + 92364654.

Almost surely, 25634242064 is an apocalyptic number.

5634242064 is a gapful number since it is divisible by the number (54) 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 5634242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897838720).

5634242064 is an abundant number, since it is smaller than the sum of its proper divisors (14161435376).

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

5634242064 is a wasteful number, since it uses less digits than its factorization.

5634242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5634242064 is about 75061.5884724004. The cubic root of 5634242064 is about 1779.4201351530.

The spelling of 5634242064 in words is "five billion, six hundred thirty-four million, two hundred forty-two thousand, sixty-four".