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261440711360604 = 223325117095643307
BaseRepresentation
bin111011011100011101101000…
…101110110000000001011100
31021021200111011200121202211000
4323130131220232300001130
5233231421034102014404
62324012112120230300
7106032316356052566
oct7334355056600134
91237614150552730
10261440711360604
11763374238aa506
12253a4b6530b390
13b2b59a3cb2b09
14487bb257c8336
152035a15e52339
hexedc768bb005c

261440711360604 has 96 divisors (see below), whose sum is σ = 680907999340800. Its totient is φ = 86748899832000.

The previous prime is 261440711360599. The next prime is 261440711360657. The reversal of 261440711360604 is 406063117044162.

261440711360604 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 4 + 0 + 7 + 1 + 1 + 36 + 0 + 604 = 666.

261440711360604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 261440711360604.

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, 43505919 + ... + 49149225.

It is an arithmetic number, because the mean of its divisors is an integer number (7092791659800).

Almost surely, 2261440711360604 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 261440711360604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340453999670400).

261440711360604 is an abundant number, since it is smaller than the sum of its proper divisors (419467287980196).

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

261440711360604 is a wasteful number, since it uses less digits than its factorization.

261440711360604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645280 (or 5645272 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 261440711360604 in words is "two hundred sixty-one trillion, four hundred forty billion, seven hundred eleven million, three hundred sixty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 1709 2259 3012 3418 4518 5127 6777 6836 9036 10254 13554 15381 20508 27108 30762 46143 61524 92286 184572 428959 857918 1286877 1715836 2573754 3860631 5147508 5643307 7721262 11286614 11581893 15442524 16929921 22573228 23163786 33859842 46327572 50789763 67719684 101579526 152369289 203159052 304738578 609477156 1416470057 2832940114 4249410171 5665880228 8498820342 9644411663 12748230513 16997640684 19288823326 25496461026 28933234989 38244691539 38577646652 50992922052 57866469978 76489383078 86799704967 115732939956 152978766156 173599409934 260399114901 347198819868 520798229802 1041596459604 2420747327413 4841494654826 7262241982239 9682989309652 14524483964478 21786725946717 29048967928956 43573451893434 65360177840151 87146903786868 130720355680302 261440711360604