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5377539323520 = 27325721317731181
BaseRepresentation
bin100111001000000111001…
…0100100011011010000000
3201001002100221221220121100
41032100032110203122000
51201101200031323040
615234224002254400
71063341303030300
oct116201624433200
921032327856540
105377539323520
111793668835211
1272a253057400
1330013b2b61a0
141483ba92b600
1594d3733eb30
hex4e40e523680

5377539323520 has 2304 divisors, whose sum is σ = 24989604101280. Its totient is φ = 1052340387840.

The previous prime is 5377539323479. The next prime is 5377539323567. The reversal of 5377539323520 is 253239357735.

5377539323520 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 5 + 3 + 93 + 23 + 520 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1492130654784 + 3885408668736 = 1221528^2 + 1971144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4553377330 + ... + 4553378510.

Almost surely, 25377539323520 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 5377539323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12494802050640).

5377539323520 is an abundant number, since it is smaller than the sum of its proper divisors (19612064777760).

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

5377539323520 is a wasteful number, since it uses less digits than its factorization.

5377539323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 17860500, while the sum is 54.

The spelling of 5377539323520 in words is "five trillion, three hundred seventy-seven billion, five hundred thirty-nine million, three hundred twenty-three thousand, five hundred twenty".