Search a number
-
+
235323051065760 = 253572418315119471
BaseRepresentation
bin110101100000011001101010…
…110111011100000110100000
31010212012122221001000102212010
4311200121222313130012200
5221321013102033101020
62152253530042432520
7100365346402355100
oct6540315267340640
91125178831012763
10235323051065760
1168a87a44516029
1222487225802740
13a13cb3a11c668
1442179a707b200
151c3145c793de0
hexd6066addc1a0

235323051065760 has 1152 divisors, whose sum is σ = 899931331289088. Its totient is φ = 51497994240000.

The previous prime is 235323051065749. The next prime is 235323051065783. The reversal of 235323051065760 is 67560150323532.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12085812825 + ... + 12085832295.

It is an arithmetic number, because the mean of its divisors is an integer number (781190391744).

Almost surely, 2235323051065760 is an apocalyptic number.

235323051065760 is a gapful number since it is divisible by the number (20) 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 235323051065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449965665644544).

235323051065760 is an abundant number, since it is smaller than the sum of its proper divisors (664608280223328).

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

235323051065760 is a wasteful number, since it uses less digits than its factorization.

235323051065760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19778 (or 19763 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 48.

The spelling of 235323051065760 in words is "two hundred thirty-five trillion, three hundred twenty-three billion, fifty-one million, sixty-five thousand, seven hundred sixty".