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253234432352 = 2511719416001
BaseRepresentation
bin1110101111010111110…
…0101100100101100000
3220012122100021001012002
43223311330230211200
513122111003313402
6312200112423132
724203246105456
oct3536574544540
9805570231162
10253234432352
119843a265140
12410b3847aa8
131ab591c4ca5
14c3842009d6
1568c1c69602
hex3af5f2c960

253234432352 has 24 divisors (see below), whose sum is σ = 543878497512. Its totient is φ = 115106560000.

The previous prime is 253234432349. The next prime is 253234432417.

253234432352 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359707649 + ... + 359708352.

It is an arithmetic number, because the mean of its divisors is an integer number (22661604063).

Almost surely, 2253234432352 is an apocalyptic number.

253234432352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253234432352 is an abundant number, since it is smaller than the sum of its proper divisors (290644065160).

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

253234432352 is a wasteful number, since it uses less digits than its factorization.

253234432352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719416022 (or 719416014 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

It can be divided in two parts, 253234 and 432352, that added together give a palindrome (685586).

The spelling of 253234432352 in words is "two hundred fifty-three billion, two hundred thirty-four million, four hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 719416001 1438832002 2877664004 5755328008 7913576011 11510656016 15827152022 23021312032 31654304044 63308608088 126617216176 253234432352