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255272269824 = 21135111317211
BaseRepresentation
bin1110110110111101101…
…0011011100000000000
3220101220100210220200000
43231233122123200000
513140244200113244
6313134230400000
724304612330545
oct3555732334000
9811810726600
10255272269824
11992955a5640
1241582200000
131b0c2459790
14c4d8b08bcc
156990b03169
hex3b6f69b800

255272269824 has 1152 divisors, whose sum is σ = 955592951040. Its totient is φ = 66886041600.

The previous prime is 255272269789. The next prime is 255272269883. The reversal of 255272269824 is 428962272552.

255272269824 is a `hidden beast` number, since 2 + 5 + 527 + 2 + 2 + 6 + 98 + 24 = 666.

255272269824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1209821079 + ... + 1209821289.

It is an arithmetic number, because the mean of its divisors is an integer number (829507770).

Almost surely, 2255272269824 is an apocalyptic number.

255272269824 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 255272269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477796475520).

255272269824 is an abundant number, since it is smaller than the sum of its proper divisors (700320681216).

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

255272269824 is a wasteful number, since it uses less digits than its factorization.

255272269824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 257 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 255272269824 in words is "two hundred fifty-five billion, two hundred seventy-two million, two hundred sixty-nine thousand, eight hundred twenty-four".