Search a number
-
+
50414897808 = 243211217295869
BaseRepresentation
bin101110111100111101…
…100100101010010000
311211010111112011102100
4232330331210222100
51311222203212213
635054342120400
73433220363232
oct567475445220
9154114464370
1050414897808
111a420993a00
12992ba20100
1349a59c92a2
142623892252
1514a0eec773
hexbbcf64a90

50414897808 has 360 divisors, whose sum is σ = 169898110200. Its totient is φ = 13880401920.

The previous prime is 50414897803. The next prime is 50414897849. The reversal of 50414897808 is 80879841405.

50414897808 is a `hidden beast` number, since 50 + 41 + 489 + 78 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4912888464 + 45502009344 = 70092^2 + 213312^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (50414897801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8587098 + ... + 8592966.

It is an arithmetic number, because the mean of its divisors is an integer number (471939195).

Almost surely, 250414897808 is an apocalyptic number.

50414897808 is a gapful number since it is divisible by the number (58) 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 50414897808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84949055100).

50414897808 is an abundant number, since it is smaller than the sum of its proper divisors (119483212392).

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

50414897808 is a wasteful number, since it uses less digits than its factorization.

50414897808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 50414897808 in words is "fifty billion, four hundred fourteen million, eight hundred ninety-seven thousand, eight hundred eight".