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205150340520 = 23335316127549
BaseRepresentation
bin1011111100001111101…
…0011100010110101000
3201121112021120002111000
42333003322130112220
511330121441344040
6234124511435000
720551550060016
oct2770372342650
9647467502430
10205150340520
117a005023274
1233914525a60
1316465368948
149d021198b6
15550a6c6130
hex2fc3e9c5a8

205150340520 has 128 divisors (see below), whose sum is σ = 705893760000. Its totient is φ = 52942014720.

The previous prime is 205150340509. The next prime is 205150340569. The reversal of 205150340520 is 25043051502.

It is a happy number.

205150340520 is a `hidden beast` number, since 2 + 0 + 51 + 50 + 3 + 40 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3030295 + ... + 3097254.

It is an arithmetic number, because the mean of its divisors is an integer number (5514795000).

Almost surely, 2205150340520 is an apocalyptic number.

205150340520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205150340520 is an abundant number, since it is smaller than the sum of its proper divisors (500743419480).

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

205150340520 is a wasteful number, since it uses less digits than its factorization.

205150340520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6127600 (or 6127590 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 205150340520 in words is "two hundred five billion, one hundred fifty million, three hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 6127549 12255098 18382647 24510196 30637745 36765294 49020392 55147941 61275490 73530588 91913235 110295882 122550980 147061176 165443823 183826470 189954019 220591764 245101960 275739705 330887646 367652940 379908038 441183528 551479410 569862057 661775292 735305880 759816076 827219115 949770095 1102958820 1139724114 1323550584 1519632152 1654438230 1709586171 1899540190 2205917640 2279448228 2849310285 3308876460 3419172342 3799080380 4558896456 5128758513 5698620570 6617752920 6838344684 7598160760 8547930855 10257517026 11397241140 13676689368 17095861710 20515034052 22794482280 25643792565 34191723420 41030068104 51287585130 68383446840 102575170260 205150340520