Search a number
-
+
51441401088 = 28327211231801
BaseRepresentation
bin101111111010001001…
…010111110100000000
311220210001001221012100
4233322021113310000
51320322444313323
635344251430400
73500523460200
oct577211276400
9156701057170
1051441401088
111a8a836a020
129b77755400
134b0a58598c
1426bdd3c400
1515111b6943
hexbfa257d00

51441401088 has 648 divisors, whose sum is σ = 196510781376. Its totient is φ = 12773376000.

The previous prime is 51441401051. The next prime is 51441401129. The reversal of 51441401088 is 88010414415.

51441401088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28561788 + ... + 28563588.

Almost surely, 251441401088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51441401088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255390688).

51441401088 is an abundant number, since it is smaller than the sum of its proper divisors (145069380288).

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

51441401088 is a wasteful number, since it uses less digits than its factorization.

51441401088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 51441401088 in words is "fifty-one billion, four hundred forty-one million, four hundred one thousand, eighty-eight".