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36225602316 = 223241139317557
BaseRepresentation
bin100001101111001101…
…101101001100001100
310110111121212021020200
4201233031231030030
51043142223233231
624350344213500
72421463352631
oct415715551414
9113447767220
1036225602316
11143aa454212
12702ba6a290
133554110557
141a791c2188
15e20476be6
hex86f36d30c

36225602316 has 144 divisors (see below), whose sum is σ = 94946735520. Its totient is φ = 11638103040.

The previous prime is 36225602297. The next prime is 36225602339. The reversal of 36225602316 is 61320652263.

36225602316 is a `hidden beast` number, since 3 + 62 + 2 + 560 + 2 + 31 + 6 = 666.

36225602316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65036710 + ... + 65037266.

It is an arithmetic number, because the mean of its divisors is an integer number (659352330).

Almost surely, 236225602316 is an apocalyptic number.

36225602316 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 36225602316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47473367760).

36225602316 is an abundant number, since it is smaller than the sum of its proper divisors (58721133204).

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

36225602316 is a wasteful number, since it uses less digits than its factorization.

36225602316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 36225602316 in words is "thirty-six billion, two hundred twenty-five million, six hundred two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 139 164 246 278 317 369 417 492 556 557 634 738 834 951 1114 1251 1268 1476 1668 1671 1902 2228 2502 2853 3342 3804 5004 5013 5699 5706 6684 10026 11398 11412 12997 17097 20052 22796 22837 25994 34194 38991 44063 45674 51291 51988 68388 68511 77423 77982 88126 91348 102582 116973 132189 137022 154846 155964 176252 176569 205164 205533 232269 233946 264378 274044 309692 353138 396567 411066 464538 467892 528756 529707 696807 706276 793134 822132 929076 1059414 1393614 1586268 1589121 1806583 2118828 2787228 3174343 3178242 3613166 5419749 6348686 6356484 7226332 7239329 9523029 10839498 12697372 14478658 16259247 19046058 21678996 21717987 24543091 28569087 28957316 32518494 38092116 43435974 49086182 57138174 65036988 65153961 73629273 86871948 98172364 114276348 130307922 147258546 220887819 260615844 294517092 441775638 883551276 1006266731 2012533462 3018800193 4025066924 6037600386 9056400579 12075200772 18112801158 36225602316