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1096813440648 = 2333193747313491
BaseRepresentation
bin11111111010111110010…
…11001110111010001000
310212212001210222210002000
433331133023032322020
5120432233220100043
62155511422311000
7142146026264022
oct17753713167210
93785053883060
101096813440648
11393179658872
121586a0728460
137c5768643b3
143b12c1bb012
151d7e5d5a2d3
hexff5f2cee88

1096813440648 has 512 divisors, whose sum is σ = 3381433344000. Its totient is φ = 328107386880.

The previous prime is 1096813440623. The next prime is 1096813440691. The reversal of 1096813440648 is 8460443186901.

1096813440648 is a `hidden beast` number, since 1 + 0 + 9 + 68 + 134 + 406 + 48 = 666.

It is a super-3 number, since 3×10968134406483 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1096813440594 and 1096813440603.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2233835683 + ... + 2233836173.

It is an arithmetic number, because the mean of its divisors is an integer number (6604362000).

Almost surely, 21096813440648 is an apocalyptic number.

1096813440648 is a gapful number since it is divisible by the number (18) 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 1096813440648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690716672000).

1096813440648 is an abundant number, since it is smaller than the sum of its proper divisors (2284619903352).

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

1096813440648 is a wasteful number, since it uses less digits than its factorization.

1096813440648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1096813440648 in words is "one trillion, ninety-six billion, eight hundred thirteen million, four hundred forty thousand, six hundred forty-eight".