Search a number
-
+
5070574080 = 29365111319
BaseRepresentation
bin1001011100011101…
…01101001000000000
3111002101011212000000
410232032231020000
540341031332310
62155052000000
7236440111545
oct45616551000
914071155000
105070574080
1121722303a0
12b96160000
1362a66b7c0
143615d2bcc
151ea2474c0
hex12e3ad200

5070574080 has 1120 divisors, whose sum is σ = 22541682240. Its totient is φ = 1074954240.

The previous prime is 5070574057. The next prime is 5070574097. The reversal of 5070574080 is 804750705.

5070574080 is a `hidden beast` number, since 5 + 0 + 7 + 0 + 574 + 0 + 80 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 266872311 + ... + 266872329.

It is an arithmetic number, because the mean of its divisors is an integer number (20126502).

Almost surely, 25070574080 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 5070574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270841120).

5070574080 is an abundant number, since it is smaller than the sum of its proper divisors (17471108160).

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

5070574080 is a wasteful number, since it uses less digits than its factorization.

5070574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5070574080 is about 71207.9635995862. The cubic root of 5070574080 is about 1717.9837198945.

The spelling of 5070574080 in words is "five billion, seventy million, five hundred seventy-four thousand, eighty".