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818018136 = 233313222409
BaseRepresentation
bin110000110000011…
…111011101011000
32010000020121221000
4300300133131120
53133403040021
6213100545000
726162016345
oct6060373530
92100217830
10818018136
1138a828151
121a9b52160
13100621200
147a8d97cc
154bc35b26
hex30c1f758

818018136 has 96 divisors (see below), whose sum is σ = 2460618000. Its totient is φ = 251686656.

The previous prime is 818018119. The next prime is 818018137. The reversal of 818018136 is 631810818.

818018136 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 a self number, because there is not a number n which added to its sum of digits gives 818018136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (818018137) 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, 25300 + ... + 47708.

Almost surely, 2818018136 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 818018136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230309000).

818018136 is an abundant number, since it is smaller than the sum of its proper divisors (1642599864).

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

818018136 is a wasteful number, since it uses less digits than its factorization.

818018136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22450 (or 22427 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 818018136 is about 28601.0163455777. The cubic root of 818018136 is about 935.2354868363.

The spelling of 818018136 in words is "eight hundred eighteen million, eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2808 3042 4056 4563 6084 9126 12168 18252 22409 36504 44818 67227 89636 134454 179272 201681 268908 291317 403362 537816 582634 605043 806724 873951 1165268 1210086 1613448 1747902 2330536 2420172 2621853 3495804 3787121 4840344 5243706 6991608 7574242 7865559 10487412 11361363 15148484 15731118 20974824 22722726 30296968 31462236 34084089 45445452 62924472 68168178 90890904 102252267 136336356 204504534 272672712 409009068 818018136