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5434363584 = 2632131938197
BaseRepresentation
bin1010000111110100…
…11100111011000000
3112000201201021101100
411003322130323000
542112144113314
62255125134400
7251445220416
oct50372347300
915021637340
105434363584
112339613881
121077b5a400
13687b42370
14397a4d2b6
1521c156c09
hex143e9cec0

5434363584 has 168 divisors, whose sum is σ = 17658171440. Its totient is φ = 1584064512.

The previous prime is 5434363559. The next prime is 5434363591. The reversal of 5434363584 is 4853634345.

5434363584 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 3 + 63 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123174 + ... + 161370.

Almost surely, 25434363584 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 5434363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8829085720).

5434363584 is an abundant number, since it is smaller than the sum of its proper divisors (12223807856).

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

5434363584 is a wasteful number, since it uses less digits than its factorization.

5434363584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38247 (or 38234 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 5434363584 is about 73718.1360589102. The cubic root of 5434363584 is about 1758.1242481502.

The spelling of 5434363584 in words is "five billion, four hundred thirty-four million, three hundred sixty-three thousand, five hundred eighty-four".