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5665683421440 = 28335724197177
BaseRepresentation
bin101001001110010010100…
…0011000011100100000000
3202001122010012220201012000
41102130211003003210000
51220311304423441230
620014440134304000
71123221626324520
oct122344503034400
922048105821160
105665683421440
111894891650829
12776069ab8000
1332136ba93903
14158313241680
159c59dc43b60
hex527250c3900

5665683421440 has 576 divisors, whose sum is σ = 23073073605120. Its totient is φ = 1289626583040.

The previous prime is 5665683421439. The next prime is 5665683421451. The reversal of 5665683421440 is 441243865665.

5665683421440 is a `hidden beast` number, since 5 + 6 + 6 + 568 + 34 + 2 + 1 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58254132 + ... + 58351308.

Almost surely, 25665683421440 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 5665683421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11536536802560).

5665683421440 is an abundant number, since it is smaller than the sum of its proper divisors (17407390183680).

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

5665683421440 is a wasteful number, since it uses less digits than its factorization.

5665683421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97455 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 5665683421440 in words is "five trillion, six hundred sixty-five billion, six hundred eighty-three million, four hundred twenty-one thousand, four hundred forty".