Search a number
-
+
50689308384 = 253311213219151
BaseRepresentation
bin101111001101010100…
…010111011011100000
311211211121212122222000
4233031110113123200
51312302430332014
635141503444000
73443062004121
oct571524273340
9154747778860
1050689308384
111a55187a700
1299a78b6600
134a1a807800
14264c0c4048
1514ba154509
hexbcd5176e0

50689308384 has 864 divisors, whose sum is σ = 186456211200. Its totient is φ = 13343616000.

The previous prime is 50689308367. The next prime is 50689308401. The reversal of 50689308384 is 48380398605.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50689308367) and next prime (50689308401).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 50689308384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335690709 + ... + 335690859.

It is an arithmetic number, because the mean of its divisors is an integer number (215805800).

Almost surely, 250689308384 is an apocalyptic number.

50689308384 is a gapful number since it is divisible by the number (54) 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 50689308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93228105600).

50689308384 is an abundant number, since it is smaller than the sum of its proper divisors (135766902816).

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

50689308384 is a wasteful number, since it uses less digits than its factorization.

50689308384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 50689308384 in words is "fifty billion, six hundred eighty-nine million, three hundred eight thousand, three hundred eighty-four".