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63940960890000 = 2432541734106677
BaseRepresentation
bin11101000100111011010100…
…10000101010110010010000
322101101200210111120200102200
432202131222100222302100
531340102041441440000
6343554023311243200
716316403421664445
oct1642355220526220
9271350714520380
1063940960890000
1119412233537587
12720822a519500
13298a7b70124bc
1411b0a8aa6d9cc
1575d3b7863500
hex3a276a42ac90

63940960890000 has 300 divisors, whose sum is σ = 224903378753196. Its totient is φ = 16952358528000.

The previous prime is 63940960889989. The next prime is 63940960890089. The reversal of 63940960890000 is 9806904936.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 34033362451344 + 29907598438656 = 5833812^2 + 5468784^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13516662 + ... + 17623338.

Almost surely, 263940960890000 is an apocalyptic number.

63940960890000 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 63940960890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112451689376598).

63940960890000 is an abundant number, since it is smaller than the sum of its proper divisors (160962417863196).

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

63940960890000 is a wasteful number, since it uses less digits than its factorization.

63940960890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106884 (or 4106860 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 63940960890000 in words is "sixty-three trillion, nine hundred forty billion, nine hundred sixty million, eight hundred ninety thousand".