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241226740275696 = 243273151169919037
BaseRepresentation
bin110110110110010011111010…
…001010100001100111110000
31011122010001101021210221010200
4312312103322022201213300
5223104224331002310241
62213014011251155200
7101545025333565000
oct6666237212414760
91148101337727120
10241226740275696
116a95376013240a
122307b4372a5b00
13a47a779086286
14437d617b7c000
151cd4cdb3264b6
hexdb64fa2a19f0

241226740275696 has 480 divisors, whose sum is σ = 793010375040000. Its totient is φ = 68421597350400.

The previous prime is 241226740275673. The next prime is 241226740275727. The reversal of 241226740275696 is 696572047622142.

241226740275696 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 2 + 6 + 7 + 40 + 27 + 569 + 6 = 666.

It is a super-3 number, since 3×2412267402756963 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12671458690 + ... + 12671477726.

It is an arithmetic number, because the mean of its divisors is an integer number (1652104948000).

Almost surely, 2241226740275696 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 241226740275696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396505187520000).

241226740275696 is an abundant number, since it is smaller than the sum of its proper divisors (551783634764304).

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

241226740275696 is a wasteful number, since it uses less digits than its factorization.

241226740275696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20922 (or 20899 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 241226740275696 in words is "two hundred forty-one trillion, two hundred twenty-six billion, seven hundred forty million, two hundred seventy-five thousand, six hundred ninety-six".