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253505288260 = 225717439725537
BaseRepresentation
bin1110110000011000010…
…1111011100001000100
3220020100012220221122101
43230012011323201010
513123134323211020
6312243030041444
724213045253030
oct3540605734104
9806305827571
10253505288260
11985691431a4
124116a4a9284
131aba035a563
14c3ac1891c0
1568da91d00a
hex3b0617b844

253505288260 has 192 divisors, whose sum is σ = 666004889088. Its totient is φ = 79074164736.

The previous prime is 253505288189. The next prime is 253505288287. The reversal of 253505288260 is 62882505352.

It is a self number, because there is not a number n which added to its sum of digits gives 253505288260.

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 63 ways as a sum of consecutive naturals, for example, 9914212 + ... + 9939748.

It is an arithmetic number, because the mean of its divisors is an integer number (3468775464).

Almost surely, 2253505288260 is an apocalyptic number.

253505288260 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 253505288260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333002444544).

253505288260 is an abundant number, since it is smaller than the sum of its proper divisors (412499600828).

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

253505288260 is a wasteful number, since it uses less digits than its factorization.

253505288260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25710 (or 25708 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 46.

The spelling of 253505288260 in words is "two hundred fifty-three billion, five hundred five million, two hundred eighty-eight thousand, two hundred sixty".