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36002180196 = 223241593311249
BaseRepresentation
bin100001100001111001…
…011010110001100100
310102221001110020201100
4201201321122301210
51042213024231241
624312243400100
72413111324323
oct414171326144
9112831406640
1036002180196
11142a5323934
126b89083030
133519a45308
141a576640ba
15e0aa429b6
hex861e5ac64

36002180196 has 144 divisors (see below), whose sum is σ = 95167800000. Its totient is φ = 11465625600.

The previous prime is 36002180171. The next prime is 36002180257. The reversal of 36002180196 is 69108120063.

It is a super-4 number, since 4×360021801964 (a number of 43 digits) contains 4444 as substring.

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 36002180196.

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, 28824180 + ... + 28825428.

It is an arithmetic number, because the mean of its divisors is an integer number (660887500).

Almost surely, 236002180196 is an apocalyptic number.

36002180196 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 36002180196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47583900000).

36002180196 is an abundant number, since it is smaller than the sum of its proper divisors (59165619804).

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

36002180196 is a wasteful number, since it uses less digits than its factorization.

36002180196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 36002180196 in words is "thirty-six billion, two million, one hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 59 82 118 123 164 177 236 246 331 354 369 492 531 662 708 738 993 1062 1249 1324 1476 1986 2124 2419 2498 2979 3747 3972 4838 4996 5958 7257 7494 9676 11241 11916 13571 14514 14988 19529 21771 22482 27142 29028 39058 40713 43542 44964 51209 54284 58587 73691 78116 81426 87084 102418 117174 122139 147382 153627 162852 175761 204836 221073 234348 244278 294764 307254 351522 413419 442146 460881 488556 614508 663219 703044 800689 826838 884292 921762 1240257 1326438 1601378 1653676 1843524 2402067 2480514 2652876 3021331 3202756 3720771 4804134 4961028 6042662 7206201 7441542 9063993 9608268 12085324 14412402 14883084 16950179 18127986 24391721 27191979 28824804 33900358 36255972 48783442 50850537 54383958 67800716 73175163 97566884 101701074 108767916 146350326 152551611 203402148 219525489 292700652 305103222 439050978 610206444 878101956 1000060561 2000121122 3000181683 4000242244 6000363366 9000545049 12000726732 18001090098 36002180196