Search a number
-
+
51354184336 = 247133759107151
BaseRepresentation
bin101111110100111100…
…101010101010010000
311220112221221212022021
4233310330222222100
51320133132344321
635331454221224
73465414236020
oct576474525220
9156487855267
1051354184336
111a863109864
129b524b4814
134ac5499830
1426b2517a80
1515086d9941
hexbf4f2aa90

51354184336 has 320 divisors, whose sum is σ = 129951682560. Its totient is φ = 19122739200.

The previous prime is 51354184327. The next prime is 51354184337. The reversal of 51354184336 is 63348145315.

It is a junction number, because it is equal to n+sod(n) for n = 51354184292 and 51354184301.

It is not an unprimeable number, because it can be changed into a prime (51354184337) 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 63 ways as a sum of consecutive naturals, for example, 340093861 + ... + 340094011.

It is an arithmetic number, because the mean of its divisors is an integer number (406099008).

Almost surely, 251354184336 is an apocalyptic number.

51354184336 is a gapful number since it is divisible by the number (56) 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 51354184336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64975841280).

51354184336 is an abundant number, since it is smaller than the sum of its proper divisors (78597498224).

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

51354184336 is a wasteful number, since it uses less digits than its factorization.

51354184336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 51354184336 in words is "fifty-one billion, three hundred fifty-four million, one hundred eighty-four thousand, three hundred thirty-six".