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135823947336 = 23347113187811
BaseRepresentation
bin111111001111110111…
…1001111011001001000
3110222120210201102110000
41332133233033121020
54211131412303321
6142221402323000
712545562334440
oct1763757173110
9428523642400
10135823947336
115266a093a50
12223a71b9460
13ca6764c30c
146806b6b120
1537ee2c2826
hex1f9fbcf648

135823947336 has 320 divisors, whose sum is σ = 489611612160. Its totient is φ = 34140528000.

The previous prime is 135823947319. The next prime is 135823947341. The reversal of 135823947336 is 633749328531.

135823947336 is a `hidden beast` number, since 1 + 35 + 8 + 239 + 47 + 336 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1502871 + ... + 1590681.

It is an arithmetic number, because the mean of its divisors is an integer number (1530036288).

Almost surely, 2135823947336 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 135823947336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244805806080).

135823947336 is an abundant number, since it is smaller than the sum of its proper divisors (353787664824).

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

135823947336 is a wasteful number, since it uses less digits than its factorization.

135823947336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87878 (or 87865 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 135823947336 in words is "one hundred thirty-five billion, eight hundred twenty-three million, nine hundred forty-seven thousand, three hundred thirty-six".