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5071483440 = 2433523313789
BaseRepresentation
bin1001011100100100…
…01011001000110000
3111002102220001102000
410232102023020300
540341244432230
62155123254000
7236450620002
oct45622131060
914072801360
105071483440
1121727a1631
12b9651a300
1362a8c969a
1436178c372
151ea376b60
hex12e48b230

5071483440 has 640 divisors, whose sum is σ = 19541606400. Its totient is φ = 1204346880.

The previous prime is 5071483429. The next prime is 5071483457. The reversal of 5071483440 is 443841705.

5071483440 is a `hidden beast` number, since 507 + 148 + 3 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5071483395 and 5071483404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56982916 + ... + 56983004.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 25071483440 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 5071483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770803200).

5071483440 is an abundant number, since it is smaller than the sum of its proper divisors (14470122960).

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

5071483440 is a wasteful number, since it uses less digits than its factorization.

5071483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5071483440 is about 71214.3485542064. The cubic root of 5071483440 is about 1718.0864151888.

The spelling of 5071483440 in words is "five billion, seventy-one million, four hundred eighty-three thousand, four hundred forty".