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5373659811456 = 2732171392418191
BaseRepresentation
bin100111000110010011100…
…0101011000111010000000
3201000201100120222021112100
41032030213011120322000
51201020223402431311
615232343015030400
71063143204516426
oct116144705307200
921021316867470
105373659811456
111791a579663a2
1272954b96b400
132cc97062c811
1414812d5bd116
1594bab969a56
hex4e327158e80

5373659811456 has 384 divisors, whose sum is σ = 16561107763200. Its totient is φ = 1666577203200.

The previous prime is 5373659811433. The next prime is 5373659811463. The reversal of 5373659811456 is 6541189563735.

5373659811456 is a `hidden beast` number, since 5 + 3 + 7 + 36 + 598 + 1 + 1 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 5373659811393 and 5373659811402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656040321 + ... + 656048511.

It is an arithmetic number, because the mean of its divisors is an integer number (43127884800).

Almost surely, 25373659811456 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 5373659811456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280553881600).

5373659811456 is an abundant number, since it is smaller than the sum of its proper divisors (11187447951744).

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

5373659811456 is a wasteful number, since it uses less digits than its factorization.

5373659811456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8593 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 5373659811456 in words is "five trillion, three hundred seventy-three billion, six hundred fifty-nine million, eight hundred eleven thousand, four hundred fifty-six".