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255152638440 = 233357195117299
BaseRepresentation
bin1110110110100001001…
…0000100100111101000
3220101121000201000021000
43231220102010213220
513140023033412230
6313114314315000
724301630433160
oct3555022044750
9811530630230
10255152638440
1199234015827
124154a128a60
131b0a373158b
14c4c6c875a0
156985371b60
hex3b684849e8

255152638440 has 256 divisors, whose sum is σ = 972564480000. Its totient is φ = 58287340800.

The previous prime is 255152638439. The next prime is 255152638441. The reversal of 255152638440 is 44836251552.

255152638440 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 5 + 2 + 638 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255152638439) and next prime (255152638441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255152638441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14740911 + ... + 14758209.

It is an arithmetic number, because the mean of its divisors is an integer number (3799080000).

Almost surely, 2255152638440 is an apocalyptic number.

255152638440 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 255152638440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486282240000).

255152638440 is an abundant number, since it is smaller than the sum of its proper divisors (717411841560).

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

255152638440 is a wasteful number, since it uses less digits than its factorization.

255152638440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19277 (or 19267 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

Adding to 255152638440 its reverse (44836251552), we get a palindrome (299988889992).

The spelling of 255152638440 in words is "two hundred fifty-five billion, one hundred fifty-two million, six hundred thirty-eight thousand, four hundred forty".