Search a number
-
+
235297592447040 = 263254113124736151
BaseRepresentation
bin110101100000000001111101…
…011010100001000001000000
31010212010020012210010121102200
4311200001331122201001000
5221320103432131301130
62152234115520113200
7100363455455566644
oct6540017532410100
91125106183117380
10235297592447040
1168a7816a816a72
12224822bb765800
13a13a61088c526
14421666dc30c24
151c3096c6ce760
hexd6007d6a1040

235297592447040 has 672 divisors, whose sum is σ = 835867746185472. Its totient is φ = 60713902080000.

The previous prime is 235297592447023. The next prime is 235297592447087. The reversal of 235297592447040 is 40744295792532.

It is a happy number.

235297592447040 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 9 + 75 + 92 + 4 + 470 + 4 + 0 = 666.

It is a super-2 number, since 2×2352975924470402 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38253547965 + ... + 38253554115.

It is an arithmetic number, because the mean of its divisors is an integer number (1243850812776).

Almost surely, 2235297592447040 is an apocalyptic number.

235297592447040 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 235297592447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417933873092736).

235297592447040 is an abundant number, since it is smaller than the sum of its proper divisors (600570153738432).

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

235297592447040 is a wasteful number, since it uses less digits than its factorization.

235297592447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8819 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 235297592447040 in words is "two hundred thirty-five trillion, two hundred ninety-seven billion, five hundred ninety-two million, four hundred forty-seven thousand, forty".