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5150509056 = 2113271119191
BaseRepresentation
bin1001100101111111…
…01000100000000000
3111021221120222011200
410302333220200000
541022012242211
62211025141200
7241430414250
oct46277504000
914257528150
105150509056
112203367760
12bb8a8a800
136410a83c4
1436c07d960
15202286b56
hex132fe8800

5150509056 has 576 divisors, whose sum is σ = 19624550400. Its totient is φ = 1260748800.

The previous prime is 5150509027. The next prime is 5150509061. The reversal of 5150509056 is 6509050515.

5150509056 is a `hidden beast` number, since 51 + 50 + 509 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×51505090562 = 53055487071876022272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5150509056.

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 47 ways as a sum of consecutive naturals, for example, 26965921 + ... + 26966111.

It is an arithmetic number, because the mean of its divisors is an integer number (34070400).

Almost surely, 25150509056 is an apocalyptic number.

5150509056 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 5150509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812275200).

5150509056 is an abundant number, since it is smaller than the sum of its proper divisors (14474041344).

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

5150509056 is a wasteful number, since it uses less digits than its factorization.

5150509056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 33750, while the sum is 36.

The square root of 5150509056 is about 71767.0471456085. The cubic root of 5150509056 is about 1726.9644000594.

The spelling of 5150509056 in words is "five billion, one hundred fifty million, five hundred nine thousand, fifty-six".