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9963695267064 = 23347311217193137
BaseRepresentation
bin1001000011111101101010…
…0001000101110011111000
31022021112001001110201210000
42100333122201011303320
52301221121442021224
633105131452353000
72045565441246000
oct220773241056370
938245031421700
109963695267064
1131a1641252900
12114b045475760
13573759830526
1426636162d000
151242a2a8a0c9
hex90fda845cf8

9963695267064 has 3840 divisors, whose sum is σ = 42269230080000. Its totient is φ = 2172751257600.

The previous prime is 9963695267063. The next prime is 9963695267077. The reversal of 9963695267064 is 4607625963699.

It is a happy number.

9963695267064 is a `hidden beast` number, since 9 + 9 + 6 + 36 + 9 + 526 + 7 + 0 + 64 = 666.

9963695267064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9963695266983 and 9963695267001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963695267063) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 269289061254 + ... + 269289061290.

It is an arithmetic number, because the mean of its divisors is an integer number (11007612000).

Almost surely, 29963695267064 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 9963695267064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134615040000).

9963695267064 is an abundant number, since it is smaller than the sum of its proper divisors (32305534812936).

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

9963695267064 is a wasteful number, since it uses less digits than its factorization.

9963695267064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 9963695267064 in words is "nine trillion, nine hundred sixty-three billion, six hundred ninety-five million, two hundred sixty-seven thousand, sixty-four".