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9099000036 = 22327433592339
BaseRepresentation
bin10000111100101011…
…11011100011100100
3212111010101002112100
420132111323203210
5122113321000121
64102515052100
7441324136620
oct103625734344
925433332470
109099000036
11394a16a445
12191b2a1030
13b201338b9
14624626180
15383c35026
hex21e57b8e4

9099000036 has 144 divisors (see below), whose sum is σ = 26983756800. Its totient is φ = 2531100096.

The previous prime is 9099000019. The next prime is 9099000047. The reversal of 9099000036 is 6300009909.

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, 3888955 + ... + 3891293.

It is an arithmetic number, because the mean of its divisors is an integer number (187387200).

Almost surely, 29099000036 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 9099000036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491878400).

9099000036 is an abundant number, since it is smaller than the sum of its proper divisors (17884756764).

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

9099000036 is a wasteful number, since it uses less digits than its factorization.

9099000036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 9099000036 is about 95388.6787622095. The cubic root of 9099000036 is about 2087.6830039091.

The spelling of 9099000036 in words is "nine billion, ninety-nine million, thirty-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 359 387 516 602 718 774 903 1077 1204 1436 1548 1806 2154 2339 2513 2709 3231 3612 4308 4678 5026 5418 6462 7017 7539 9356 10052 10836 12924 14034 15078 15437 16373 21051 22617 28068 30156 30874 32746 42102 45234 46311 49119 61748 65492 84204 90468 92622 98238 100577 108059 138933 147357 185244 196476 201154 216118 277866 294714 301731 324177 402308 432236 555732 589428 603462 648354 704039 839701 905193 972531 1206924 1296708 1408078 1679402 1810386 1945062 2112117 2519103 2816156 3358804 3620772 3890124 4224234 5038206 5877907 6336351 7557309 8448468 10076412 11755814 12672702 15114618 17633721 23511628 25345404 30229236 35267442 36107143 52901163 70534884 72214286 105802326 108321429 144428572 211604652 216642858 252750001 324964287 433285716 505500002 649928574 758250003 1011000004 1299857148 1516500006 2274750009 3033000012 4549500018 9099000036