Search a number
-
+
51498094050 = 232521321761653
BaseRepresentation
bin101111111101100001…
…101000110111100010
311220220222202020022200
4233331201220313202
51320432003002200
635354034514030
73502112401614
oct577541506742
9156828666280
1051498094050
111a927371307
129b92735916
134b19245600
1426c7698db4
151516164800
hexbfd868de2

51498094050 has 432 divisors, whose sum is σ = 161480220408. Its totient is φ = 11717222400.

The previous prime is 51498094031. The next prime is 51498094091. The reversal of 51498094050 is 5049089415.

51498094050 is a `hidden beast` number, since 514 + 9 + 80 + 9 + 4 + 0 + 50 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 45434201409 + 6063892641 = 213153^2 + 77871^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 51498093987 and 51498094005.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 78863524 + ... + 78864176.

Almost surely, 251498094050 is an apocalyptic number.

51498094050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51498094050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740110204).

51498094050 is an abundant number, since it is smaller than the sum of its proper divisors (109982126358).

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

51498094050 is a wasteful number, since it uses less digits than its factorization.

51498094050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 51498094050 in words is "fifty-one billion, four hundred ninety-eight million, ninety-four thousand, fifty".