Search a number
-
+
250649333805420 = 2235511316114391723
BaseRepresentation
bin111000111111011011011000…
…100000010011000101101100
31012212110211202000220100200000
4320333123120200103011230
5230323114313423233140
62245030414143504300
7103536550103233314
oct7077333040230554
91185424660810600
10250649333805420
1172956870578150
122414162a8b8090
13a9b2191377aa4
1445c76c7548444
151de9e6ebbaa30
hexe3f6d881316c

250649333805420 has 1152 divisors, whose sum is σ = 903594006282240. Its totient is φ = 57765633408000.

The previous prime is 250649333805407. The next prime is 250649333805509. The reversal of 250649333805420 is 24508333946052.

250649333805420 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 4 + 93 + 3 + 3 + 8 + 0 + 542 + 0 = 666.

250649333805420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2506493338054202 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 145472624679 + ... + 145472626401.

It is an arithmetic number, because the mean of its divisors is an integer number (784369797120).

Almost surely, 2250649333805420 is an apocalyptic number.

250649333805420 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 250649333805420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451797003141120).

250649333805420 is an abundant number, since it is smaller than the sum of its proper divisors (652944672476820).

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

250649333805420 is a wasteful number, since it uses less digits than its factorization.

250649333805420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 250649333805420 in words is "two hundred fifty trillion, six hundred forty-nine billion, three hundred thirty-three million, eight hundred five thousand, four hundred twenty".