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11423405096064 = 27341337261909
BaseRepresentation
bin1010011000111011100000…
…0000001011110010000000
31111110001210202001010020000
42212032320000023302000
52444130113201033224
640143501224120000
72256212425132113
oct246167000136200
944401722033200
1011423405096064
113704703407405
121345b23306000
1364b2b7a28560
142b6c77d5657a
1514c237c310c9
hexa63b800bc80

11423405096064 has 480 divisors, whose sum is σ = 37627770618900. Its totient is φ = 3419841503232.

The previous prime is 11423405095969. The next prime is 11423405096069. The reversal of 11423405096064 is 46069050432411.

11423405096064 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 34 + 0 + 5 + 0 + 9 + 606 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10703418905664 + 719986190400 = 3271608^2 + 848520^2 .

It is not an unprimeable number, because it can be changed into a prime (11423405096069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 184488342 + ... + 184550250.

Almost surely, 211423405096064 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 11423405096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18813885309450).

11423405096064 is an abundant number, since it is smaller than the sum of its proper divisors (26204365522836).

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

11423405096064 is an equidigital number, since it uses as much as digits as its factorization.

11423405096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62022 (or 61964 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 11423405096064 in words is "eleven trillion, four hundred twenty-three billion, four hundred five million, ninety-six thousand, sixty-four".