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8963232067104 = 25372313919321617
BaseRepresentation
bin1000001001101110101001…
…0000110110111000100000
31011201212200001110022101220
42002123222100312320200
52133323144402121404
631021352454055040
71613400150332520
oct202335220667040
934655601408356
108963232067104
112946315915a27
12100917434a480
135002c95c5a93
1422db7388d680
1510824a8294d9
hex826ea436e20

8963232067104 has 384 divisors, whose sum is σ = 28408417873920. Its totient is φ = 2419243352064.

The previous prime is 8963232067103. The next prime is 8963232067129. The reversal of 8963232067104 is 4017602323698.

It is a super-2 number, since 2×89632320671042 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8963232067103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414627304 + ... + 414648920.

It is an arithmetic number, because the mean of its divisors is an integer number (73980254880).

Almost surely, 28963232067104 is an apocalyptic number.

8963232067104 is a gapful number since it is divisible by the number (84) 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 8963232067104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204208936960).

8963232067104 is an abundant number, since it is smaller than the sum of its proper divisors (19445185806816).

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

8963232067104 is a wasteful number, since it uses less digits than its factorization.

8963232067104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21992 (or 21984 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 8963232067104 in words is "eight trillion, nine hundred sixty-three billion, two hundred thirty-two million, sixty-seven thousand, one hundred four".