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5071347456 = 283719131379
BaseRepresentation
bin1001011100100011…
…01001111100000000
3111002102122010212120
410232101221330000
540341231104311
62155120324240
7236446512360
oct45621517400
914072563776
105071347456
11217270944a
12b96473680
1362a87c816
143617549a0
151ea34b706
hex12e469f00

5071347456 has 288 divisors, whose sum is σ = 16404326400. Its totient is φ = 1358622720.

The previous prime is 5071347439. The next prime is 5071347493. The reversal of 5071347456 is 6547431705.

It is a happy number.

It is a super-3 number, since 3×50713474563 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13380675 + ... + 13381053.

Almost surely, 25071347456 is an apocalyptic number.

5071347456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5071347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8202163200).

5071347456 is an abundant number, since it is smaller than the sum of its proper divisors (11332978944).

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

5071347456 is a wasteful number, since it uses less digits than its factorization.

5071347456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 5071347456 is about 71213.3937963920. The cubic root of 5071347456 is about 1718.0710591065.

The spelling of 5071347456 in words is "five billion, seventy-one million, three hundred forty-seven thousand, four hundred fifty-six".