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5663967482880 = 210395723137
BaseRepresentation
bin101001001101011111011…
…0001010001010000000000
3202001110200122002000000000
41102122332301101100000
51220244301133423010
620013554000000000
71123131252150300
oct122327661212000
922043618060000
105663967482880
111894090a91793
1277586b300000
13321157426755
141581cd3ab600
159c4ed2927c0
hex526bec51400

5663967482880 has 2640 divisors, whose sum is σ = 25133485487616. Its totient is φ = 1218998108160.

The previous prime is 5663967482807. The next prime is 5663967482933. The reversal of 5663967482880 is 882847693665.

5663967482880 is a `hidden beast` number, since 5 + 6 + 6 + 3 + 9 + 67 + 482 + 8 + 80 = 666.

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 = 5663967482799 and 5663967482808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 153080202222 + ... + 153080202258.

Almost surely, 25663967482880 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 5663967482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12566742743808).

5663967482880 is an abundant number, since it is smaller than the sum of its proper divisors (19469518004736).

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

5663967482880 is an frugal number, since it uses more digits than its factorization.

5663967482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 5663967482880 in words is "five trillion, six hundred sixty-three billion, nine hundred sixty-seven million, four hundred eighty-two thousand, eight hundred eighty".