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135584822435656 = 23111648193485627
BaseRepresentation
bin11110110101000001001101…
…001011011001111101001000
3122210001210010101201022111111
4132311001031023121331020
5120232410204020420111
61200210450232540104
740362452203150126
oct3665011513317510
9583053111638444
10135584822435656
113a224222637580
12132592b6851634
135a86794a2a539
14256a4aa182916
1510a1d1444ba21
hex7b504d2d9f48

135584822435656 has 32 divisors (see below), whose sum is σ = 277349421725280. Its totient is φ = 61625724659200.

The previous prime is 135584822435603. The next prime is 135584822435659. The reversal of 135584822435656 is 656534228485531.

It is a junction number, because it is equal to n+sod(n) for n = 135584822435591 and 135584822435600.

It is not an unprimeable number, because it can be changed into a prime (135584822435659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45292486 + ... + 48193141.

It is an arithmetic number, because the mean of its divisors is an integer number (8667169428915).

Almost surely, 2135584822435656 is an apocalyptic number.

It is an amenable number.

135584822435656 is an abundant number, since it is smaller than the sum of its proper divisors (141764599289624).

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

135584822435656 is a wasteful number, since it uses less digits than its factorization.

135584822435656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93502125 (or 93502121 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 67.

The spelling of 135584822435656 in words is "one hundred thirty-five trillion, five hundred eighty-four billion, eight hundred twenty-two million, four hundred thirty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 16481 32962 65924 131848 181291 362582 725164 1450328 93485627 186971254 373942508 747885016 1028341897 2056683794 4113367588 8226735176 1540736618587 3081473237174 6162946474348 12325892948696 16948102804457 33896205608914 67792411217828 135584822435656