Search a number
-
+
235319316450624 = 26387233480821
BaseRepresentation
bin110101100000010110001100…
…010001000000110101000000
31010212012022021202200100000000
4311200112030101000311000
5221320432430002404444
62152252111313000000
7100365155013561240
oct6540261421006500
91125168252610000
10235319316450624
1168a863a841343a
1222486562b53000
13a13c693499213
144217731089b20
151c312de991469
hexd6058c440d40

235319316450624 has 504 divisors, whose sum is σ = 835268294659968. Its totient is φ = 64310850616320.

The previous prime is 235319316450553. The next prime is 235319316450643. The reversal of 235319316450624 is 426054613913532.

235319316450624 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 1 + 9 + 3 + 1 + 6 + 4 + 5 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 65864134 + ... + 69344954.

Almost surely, 2235319316450624 is an apocalyptic number.

235319316450624 is a gapful number since it is divisible by the number (24) 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 235319316450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417634147329984).

235319316450624 is an abundant number, since it is smaller than the sum of its proper divisors (599948978209344).

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

235319316450624 is an frugal number, since it uses more digits than its factorization.

235319316450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480887 (or 3480856 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 235319316450624 in words is "two hundred thirty-five trillion, three hundred nineteen billion, three hundred sixteen million, four hundred fifty thousand, six hundred twenty-four".