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9806000136 = 23323791092063
BaseRepresentation
bin10010010000111101…
…11011000000001000
3221022101201102100020
421020132323000020
5130040314001021
64301012340440
7465000424452
oct111036730010
927271642306
109806000136
114182260049
121a98014720
13c0375425a
146904a32d2
153c5d3b7c6
hex2487bb008

9806000136 has 128 divisors (see below), whose sum is σ = 26155008000. Its totient is φ = 3057170688.

The previous prime is 9806000131. The next prime is 9806000167. The reversal of 9806000136 is 6310006089.

It is a junction number, because it is equal to n+sod(n) for n = 9806000097 and 9806000106.

It is not an unprimeable number, because it can be changed into a prime (9806000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4752241 + ... + 4754303.

It is an arithmetic number, because the mean of its divisors is an integer number (204336000).

Almost surely, 29806000136 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 9806000136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13077504000).

9806000136 is an abundant number, since it is smaller than the sum of its proper divisors (16349007864).

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

9806000136 is a wasteful number, since it uses less digits than its factorization.

9806000136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 9806000136 is about 99025.2499921106. The cubic root of 9806000136 is about 2140.4116115110.

The spelling of 9806000136 in words is "nine billion, eight hundred six million, one hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 109 138 158 184 218 237 276 316 327 436 474 552 632 654 872 948 1308 1817 1896 2063 2507 2616 3634 4126 5014 5451 6189 7268 7521 8252 8611 10028 10902 12378 14536 15042 16504 17222 20056 21804 24756 25833 30084 34444 43608 47449 49512 51666 60168 68888 94898 103332 142347 162977 189796 198053 206664 224867 284694 325954 379592 396106 449734 488931 569388 594159 651908 674601 792212 899468 977862 1138776 1188318 1303816 1349202 1584424 1798936 1955724 2376636 2698404 3748471 3911448 4753272 5171941 5396808 7496942 10343882 11245413 14993884 15515823 17764493 20687764 22490826 29987768 31031646 35528986 41375528 44981652 53293479 62063292 71057972 89963304 106586958 124126584 142115944 213173916 408583339 426347832 817166678 1225750017 1634333356 2451500034 3268666712 4903000068 9806000136