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261421062216120 = 233352357102696877
BaseRepresentation
bin111011011100001011010101…
…100011001101100110111000
31021021121121110022021210212000
4323130023111203031212320
5233231110313411403440
62323555102243021000
7106031022424065222
oct7334132543154670
91237547408253760
10261421062216120
117632a06042a424
12253a11a096a760
13b2b3b922008c1
14487abbdd53412
152035265ddd730
hexedc2d58cd9b8

261421062216120 has 128 divisors (see below), whose sum is σ = 871773257966400. Its totient is φ = 69682705878528.

The previous prime is 261421062216107. The next prime is 261421062216179. The reversal of 261421062216120 is 21612260124162.

261421062216120 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 2 + 1 + 0 + 622 + 1 + 6 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 48802879 + ... + 53893998.

Almost surely, 2261421062216120 is an apocalyptic number.

261421062216120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261421062216120 is an abundant number, since it is smaller than the sum of its proper divisors (610352195750280).

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

261421062216120 is a wasteful number, since it uses less digits than its factorization.

261421062216120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102699254 (or 102699244 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 261421062216120 in words is "two hundred sixty-one trillion, four hundred twenty-one billion, sixty-two million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2357 4714 7071 9428 11785 14142 18856 21213 23570 28284 35355 42426 47140 56568 63639 70710 84852 94280 106065 127278 141420 169704 212130 254556 282840 318195 424260 509112 636390 848520 1272780 2545560 102696877 205393754 308090631 410787508 513484385 616181262 821575016 924271893 1026968770 1232362524 1540453155 1848543786 2053937540 2464725048 2772815679 3080906310 3697087572 4107875080 4621359465 5545631358 6161812620 7394175144 9242718930 11091262716 12323625240 13864078395 18485437860 22182525432 27728156790 36970875720 55456313580 110912627160 242056539089 484113078178 726169617267 968226156356 1210282695445 1452339234534 1936452312712 2178508851801 2420565390890 2904678469068 3630848086335 4357017703602 4841130781780 5809356938136 6535526555403 7261696172670 8714035407204 9682261563560 10892544259005 13071053110806 14523392345340 17428070814408 21785088518010 26142106221612 29046784690680 32677632777015 43570177036020 52284212443224 65355265554030 87140354072040 130710531108060 261421062216120