Search a number
-
+
241163627027928 = 2331141257469118481
BaseRepresentation
bin110110110101011001001000…
…010100100101110111011000
31011121220000110211002202022120
4312311121020110211313120
5223102211102004343203
62212525012451221240
7101540332332045123
oct6665311024456730
91147800424082276
10241163627027928
116a929a13375210
122306b1628a7820
13a47482b643157
14437a54ba433ba
151cd334560eb53
hexdb5648525dd8

241163627027928 has 256 divisors, whose sum is σ = 676563340884480. Its totient is φ = 71001047040000.

The previous prime is 241163627027909. The next prime is 241163627027989. The reversal of 241163627027928 is 829720726361142.

241163627027928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13049264448 + ... + 13049282928.

It is an arithmetic number, because the mean of its divisors is an integer number (2642825550330).

Almost surely, 2241163627027928 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 241163627027928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338281670442240).

241163627027928 is an abundant number, since it is smaller than the sum of its proper divisors (435399713856552).

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

241163627027928 is a wasteful number, since it uses less digits than its factorization.

241163627027928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490 (or 23486 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 241163627027928 in words is "two hundred forty-one trillion, one hundred sixty-three billion, six hundred twenty-seven million, twenty-seven thousand, nine hundred twenty-eight".