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22136135040 = 2732537103867
BaseRepresentation
bin10100100111011010…
…101001110110000000
32010010201001011122100
4110213122221312000
5330313322310130
614100314110400
71412361020565
oct244732516600
963121034570
1022136135040
11942a2a8988
12435941b400
13211a108076
1410ddc9a86c
1589856ec60
hex5276a9d80

22136135040 has 192 divisors, whose sum is σ = 78505511760. Its totient is φ = 5743374336.

The previous prime is 22136134981. The next prime is 22136135083. The reversal of 22136135040 is 4053163122.

22136135040 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 613 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 22136134995 and 22136135013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161187 + ... + 265053.

Almost surely, 222136135040 is an apocalyptic number.

22136135040 is a gapful number since it is divisible by the number (20) 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 22136135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39252755880).

22136135040 is an abundant number, since it is smaller than the sum of its proper divisors (56369376720).

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

22136135040 is a wasteful number, since it uses less digits than its factorization.

22136135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103929 (or 103914 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 22136135040 its reverse (4053163122), we get a palindrome (26189298162).

The spelling of 22136135040 in words is "twenty-two billion, one hundred thirty-six million, one hundred thirty-five thousand, forty".