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1098560365056 = 29337111032047
BaseRepresentation
bin11111111110001110100…
…11001110001000000000
310220000120120010201212000
433333013103032020000
5120444322423140211
62200401025104000
7142240231014060
oct17770723161000
93800516121760
101098560365056
11393995760a50
12158aa9788000
137c79476018b
143b2561d93a0
151d8993cc656
hexffc74ce200

1098560365056 has 320 divisors, whose sum is σ = 4054214799360. Its totient is φ = 285340078080.

The previous prime is 1098560365051. The next prime is 1098560365073. The reversal of 1098560365056 is 6505630658901.

It is a happy number.

1098560365056 is a `hidden beast` number, since 10 + 9 + 8 + 560 + 3 + 65 + 0 + 5 + 6 = 666.

1098560365056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1098560364993 and 1098560365011.

It is not an unprimeable number, because it can be changed into a prime (1098560365051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548425 + ... + 1580471.

It is an arithmetic number, because the mean of its divisors is an integer number (12669421248).

Almost surely, 21098560365056 is an apocalyptic number.

1098560365056 is a gapful number since it is divisible by the number (16) 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 1098560365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027107399680).

1098560365056 is an abundant number, since it is smaller than the sum of its proper divisors (2955654434304).

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

1098560365056 is a wasteful number, since it uses less digits than its factorization.

1098560365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032092 (or 1032070 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 1098560365056 in words is "one trillion, ninety-eight billion, five hundred sixty million, three hundred sixty-five thousand, fifty-six".