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5430317616 = 24321731163439
BaseRepresentation
bin1010000111010110…
…00001001000110000
3112000110002201100200
411003223001020300
542110130130431
62254502315200
7251365636533
oct50353011060
915013081320
105430317616
1123372aaaa9
121076728b00
136870568b9
143972b8a1a
1521bb07ee6
hex143ac1230

5430317616 has 240 divisors, whose sum is σ = 16750356480. Its totient is φ = 1634826240.

The previous prime is 5430317593. The next prime is 5430317653. The reversal of 5430317616 is 6167130345.

5430317616 is a `hidden beast` number, since 5 + 4 + 3 + 0 + 31 + 7 + 616 = 666.

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

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, 12369525 + ... + 12369963.

It is an arithmetic number, because the mean of its divisors is an integer number (69793152).

Almost surely, 25430317616 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 5430317616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375178240).

5430317616 is an abundant number, since it is smaller than the sum of its proper divisors (11320038864).

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

5430317616 is a wasteful number, since it uses less digits than its factorization.

5430317616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5430317616 is about 73690.6888012319. The cubic root of 5430317616 is about 1757.6878228974.

The spelling of 5430317616 in words is "five billion, four hundred thirty million, three hundred seventeen thousand, six hundred sixteen".