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5532088320 = 2113351117107
BaseRepresentation
bin1010010011011110…
…01111100000000000
3112021112121012112000
411021233033200000
542312203311240
62312535504000
7254042655243
oct51157174000
915245535460
105532088320
1123897a0920
1210a4828000
136a216a355
143a6a0b25a
15225a0c430
hex149bcf800

5532088320 has 768 divisors, whose sum is σ = 22926758400. Its totient is φ = 1250426880.

The previous prime is 5532088319. The next prime is 5532088349. The reversal of 5532088320 is 238802355.

5532088320 is a `hidden beast` number, since 5 + 5 + 320 + 8 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 51701707 + ... + 51701813.

It is an arithmetic number, because the mean of its divisors is an integer number (29852550).

Almost surely, 25532088320 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 5532088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463379200).

5532088320 is an abundant number, since it is smaller than the sum of its proper divisors (17394670080).

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

5532088320 is a wasteful number, since it uses less digits than its factorization.

5532088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5532088320 is about 74378.0096533915. The cubic root of 5532088320 is about 1768.6003298377.

The spelling of 5532088320 in words is "five billion, five hundred thirty-two million, eighty-eight thousand, three hundred twenty".