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241254254405052 = 223272192616539511
BaseRepresentation
bin110110110110101101100010…
…001000100110010110111100
31011122012200101210111112001200
4312312231202020212112330
5223110202203111430202
62213034401402335500
7101550021220043400
oct6666554210462674
91148180353445050
10241254254405052
116a96439a142a99
12230848357ba590
13a4802424281a5
144380aa7db3100
151cd589bab5e1c
hexdb6b622265bc

241254254405052 has 648 divisors, whose sum is σ = 762223796242272. Its totient is φ = 64126273881600.

The previous prime is 241254254404987. The next prime is 241254254405083. The reversal of 241254254405052 is 250504452452142.

241254254405052 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 5 + 4 + 2 + 544 + 0 + 50 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 241254254404989 and 241254254405007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 25365808977 + ... + 25365818487.

Almost surely, 2241254254405052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241254254405052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381111898121136).

241254254405052 is an abundant number, since it is smaller than the sum of its proper divisors (520969541837220).

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

241254254405052 is a wasteful number, since it uses less digits than its factorization.

241254254405052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 2560000, while the sum is 45.

The spelling of 241254254405052 in words is "two hundred forty-one trillion, two hundred fifty-four billion, two hundred fifty-four million, four hundred five thousand, fifty-two".