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9993716064 = 25331921792
BaseRepresentation
bin10010100111010110…
…00000000101100000
3221210110221101012000
421103223000011200
5130431342403224
64331400004000
7502440120303
oct112353000540
927713841160
109993716064
114269212882
121b2aa60600
13c335ca177
146ab3a8b3a
153d756b0c9
hex253ac0160

9993716064 has 216 divisors, whose sum is σ = 30936026520. Its totient is φ = 3138279552.

The previous prime is 9993716053. The next prime is 9993716113. The reversal of 9993716064 is 4606173999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9993716064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55830727 + ... + 55830905.

It is an arithmetic number, because the mean of its divisors is an integer number (143222345).

Almost surely, 29993716064 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 9993716064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468013260).

9993716064 is an abundant number, since it is smaller than the sum of its proper divisors (20942310456).

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

9993716064 is a wasteful number, since it uses less digits than its factorization.

9993716064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 9993716064 is about 99968.5753824671. The cubic root of 9993716064 is about 2153.9833178153.

Multiplying 9993716064 by its sum of digits (54), we get a square (539660667456 = 7346162).

9993716064 divided by its sum of digits (54) gives a square (185068816 = 136042).

The spelling of 9993716064 in words is "nine billion, nine hundred ninety-three million, seven hundred sixteen thousand, sixty-four".