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135820738962 = 23217961368767
BaseRepresentation
bin111111001111110001…
…1000000000110010010
3110222120120200102101100
41332133203000012102
54211130102121322
6142221205445230
712545523142536
oct1763743000622
9428516612340
10135820738962
11526682a24a7
12223a6110816
13ca66a97b7c
146806573bc6
1537edd8bdac
hex1f9f8c0192

135820738962 has 48 divisors (see below), whose sum is σ = 296409335040. Its totient is φ = 44946557856.

The previous prime is 135820738943. The next prime is 135820738967. The reversal of 135820738962 is 269837028531.

135820738962 is a `hidden beast` number, since 1 + 3 + 58 + 207 + 389 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135820738899 and 135820738908.

It is not an unprimeable number, because it can be changed into a prime (135820738967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1940703 + ... + 2009469.

It is an arithmetic number, because the mean of its divisors is an integer number (6175194480).

Almost surely, 2135820738962 is an apocalyptic number.

135820738962 is an abundant number, since it is smaller than the sum of its proper divisors (160588596078).

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

135820738962 is a wasteful number, since it uses less digits than its factorization.

135820738962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69567 (or 69564 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 135820738962 in words is "one hundred thirty-five billion, eight hundred twenty million, seven hundred thirty-eight thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 179 358 537 613 1074 1226 1611 1839 3222 3678 5517 11034 68767 109727 137534 206301 219454 329181 412602 618903 658362 987543 1237806 1975086 12309293 24618586 36927879 42154171 73855758 84308342 110783637 126462513 221567274 252925026 379387539 758775078 7545596609 15091193218 22636789827 45273579654 67910369481 135820738962