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83481108480 = 21332571117173
BaseRepresentation
bin100110110111111011…
…1001010000000000000
321222110221102201002200
41031233313022000000
52331432130432410
6102203425513200
76013511466630
oct1155767120000
9258427381080
1083481108480
1132449a00440
12142197a2800
137b453b8713
14407d21a6c0
152288de83c0
hex136fdca000

83481108480 has 1344 divisors, whose sum is σ = 384220931328. Its totient is φ = 16231956480.

The previous prime is 83481108457. The next prime is 83481108527. The reversal of 83481108480 is 8480118438.

83481108480 is a `hidden beast` number, since 8 + 3 + 481 + 10 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482549674 + ... + 482549846.

Almost surely, 283481108480 is an apocalyptic number.

83481108480 is a gapful number since it is divisible by the number (80) 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 83481108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192110465664).

83481108480 is an abundant number, since it is smaller than the sum of its proper divisors (300739822848).

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

83481108480 is a wasteful number, since it uses less digits than its factorization.

83481108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 83481108480 in words is "eighty-three billion, four hundred eighty-one million, one hundred eight thousand, four hundred eighty".