Search a number
-
+
51302833920 = 2834513172239
BaseRepresentation
bin101111110001111000…
…110001111100000000
311220102101022222210000
4233301320301330000
51320032011141140
635322421440000
73464221615242
oct576170617400
9156371288700
1051302833920
111a8371264a8
129b39270000
134ab795a880
1426a978c092
151503e44a30
hexbf1e31f00

51302833920 has 720 divisors, whose sum is σ = 209414177280. Its totient is φ = 11880235008.

The previous prime is 51302833891. The next prime is 51302833921. The reversal of 51302833920 is 2933820315.

51302833920 is a `hidden beast` number, since 513 + 0 + 28 + 33 + 92 + 0 = 666.

51302833920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51302833921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22912161 + ... + 22914399.

It is an arithmetic number, because the mean of its divisors is an integer number (290853024).

Almost surely, 251302833920 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 51302833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104707088640).

51302833920 is an abundant number, since it is smaller than the sum of its proper divisors (158111343360).

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

51302833920 is a wasteful number, since it uses less digits than its factorization.

51302833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 51302833920 in words is "fifty-one billion, three hundred two million, eight hundred thirty-three thousand, nine hundred twenty".