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30820504536 = 233611714513
BaseRepresentation
bin11100101101000010…
…111001001111011000
32221112221012212000000
4130231002321033120
51001110022121121
622054142213000
72140521652233
oct345502711730
987487185000
1030820504536
111208640a258
125b81884160
132ba2376c43
1416c53d041a
15c05ba1526
hex72d0b93d8

30820504536 has 112 divisors (see below), whose sum is σ = 86736239160. Its totient is φ = 10262453760.

The previous prime is 30820504531. The next prime is 30820504573. The reversal of 30820504536 is 63540502803.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30820504536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30820504531) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 6827016 + ... + 6831528.

Almost surely, 230820504536 is an apocalyptic number.

30820504536 is a gapful number since it is divisible by the number (36) 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 30820504536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43368119580).

30820504536 is an abundant number, since it is smaller than the sum of its proper divisors (55915734624).

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

30820504536 is a wasteful number, since it uses less digits than its factorization.

30820504536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5708 (or 5689 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 30820504536 in words is "thirty billion, eight hundred twenty million, five hundred four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1171 1458 1944 2342 2916 3513 4513 4684 5832 7026 9026 9368 10539 13539 14052 18052 21078 27078 28104 31617 36104 40617 42156 54156 63234 81234 84312 94851 108312 121851 126468 162468 189702 243702 252936 284553 324936 365553 379404 487404 569106 731106 758808 853659 974808 1096659 1138212 1462212 1707318 2193318 2276424 2924424 3289977 3414636 4386636 5284723 6579954 6829272 8773272 10569446 13159908 15854169 21138892 26319816 31708338 42277784 47562507 63416676 95125014 126833352 142687521 190250028 285375042 380500056 428062563 570750084 856125126 1141500168 1284187689 1712250252 2568375378 3424500504 3852563067 5136750756 7705126134 10273501512 15410252268 30820504536