Search a number
-
+
50247014400 = 21132521123431
BaseRepresentation
bin101110110010111101…
…001001100000000000
311210200210121210200100
4232302331021200000
51310401213430100
635025543522400
73426111401232
oct566275114000
9153623553610
1050247014400
111a345147690
1298a3759400
134979ca84ab
142609470252
1514913d9400
hexbb2f49800

50247014400 has 864 divisors, whose sum is σ = 205321858560. Its totient is φ = 11624448000.

The previous prime is 50247014387. The next prime is 50247014407. The reversal of 50247014400 is 441074205.

50247014400 is a `hidden beast` number, since 5 + 0 + 247 + 0 + 14 + 400 = 666.

It is a super-2 number, since 2×502470144002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50247014407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116582185 + ... + 116582615.

It is an arithmetic number, because the mean of its divisors is an integer number (237641040).

Almost surely, 250247014400 is an apocalyptic number.

50247014400 is a gapful number since it is divisible by the number (50) 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 50247014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102660929280).

50247014400 is an abundant number, since it is smaller than the sum of its proper divisors (155074844160).

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

50247014400 is a wasteful number, since it uses less digits than its factorization.

50247014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 50247014400 its reverse (441074205), we get a palindrome (50688088605).

The spelling of 50247014400 in words is "fifty billion, two hundred forty-seven million, fourteen thousand, four hundred".