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5070504960 = 21033543853
BaseRepresentation
bin1001011100011100…
…11100010000000000
3111002101001100012000
410232032130100000
540341022124320
62155050304000
7236436403203
oct45616342000
914071040160
105070504960
112172193474
12b96128000
1362a6461c1
143615b593a
151ea231c90
hex12e39c400

5070504960 has 352 divisors, whose sum is σ = 18460337280. Its totient is φ = 1319141376.

The previous prime is 5070504941. The next prime is 5070504991. The reversal of 5070504960 is 694050705.

5070504960 is a `hidden beast` number, since 50 + 70 + 50 + 496 + 0 = 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 31 ways as a sum of consecutive naturals, for example, 5943894 + ... + 5944746.

It is an arithmetic number, because the mean of its divisors is an integer number (52444140).

Almost surely, 25070504960 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 5070504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9230168640).

5070504960 is an abundant number, since it is smaller than the sum of its proper divisors (13389832320).

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

5070504960 is a wasteful number, since it uses less digits than its factorization.

5070504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5070504960 is about 71207.4782589582. The cubic root of 5070504960 is about 1717.9759135744.

The spelling of 5070504960 in words is "five billion, seventy million, five hundred four thousand, nine hundred sixty".