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253095875424 = 253371710332383
BaseRepresentation
bin1110101110110110110…
…0001001001101100000
3220012021200112121211000
43223231230021031200
513121320021003144
6312134242552000
724166644305430
oct3535554111540
9805250477730
10253095875424
1198379029287
1241075368600
131ab365a1742
14c36da542c0
1568b49ea769
hex3aedb09360

253095875424 has 384 divisors, whose sum is σ = 894519521280. Its totient is φ = 67964977152.

The previous prime is 253095875423. The next prime is 253095875429. The reversal of 253095875424 is 424578590352.

253095875424 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 9 + 587 + 54 + 2 + 4 = 666.

253095875424 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253095875423) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 106207737 + ... + 106210119.

It is an arithmetic number, because the mean of its divisors is an integer number (2329477920).

Almost surely, 2253095875424 is an apocalyptic number.

253095875424 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 253095875424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447259760640).

253095875424 is an abundant number, since it is smaller than the sum of its proper divisors (641423645856).

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

253095875424 is a wasteful number, since it uses less digits than its factorization.

253095875424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 253095875424 in words is "two hundred fifty-three billion, ninety-five million, eight hundred seventy-five thousand, four hundred twenty-four".