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2205716605664 = 251113736602993
BaseRepresentation
bin100000000110001110111…
…101000110101011100000
321210212100011221012012012
4200012032331012223200
5242114301422340124
64405143041452052
7315233466541625
oct40061675065340
97725304835165
102205716605664
11780491580480
122b7596041028
1312ccc9016940
1478a85c9034c
153c59825ae0e
hex2018ef46ae0

2205716605664 has 96 divisors (see below), whose sum is σ = 5171570548704. Its totient is φ = 912797614080.

The previous prime is 2205716605649. The next prime is 2205716605669. The reversal of 2205716605664 is 4665066175022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205716605669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2967449 + ... + 3635544.

It is an arithmetic number, because the mean of its divisors is an integer number (53870526549).

Almost surely, 22205716605664 is an apocalyptic number.

It is an amenable number.

2205716605664 is an abundant number, since it is smaller than the sum of its proper divisors (2965853943040).

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

2205716605664 is a wasteful number, since it uses less digits than its factorization.

2205716605664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6603100 (or 6603092 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 2205716605664 in words is "two trillion, two hundred five billion, seven hundred sixteen million, six hundred five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 352 416 572 584 803 949 1144 1168 1606 1898 2288 2336 3212 3796 4576 6424 7592 10439 12848 15184 20878 25696 30368 41756 83512 167024 334048 6602993 13205986 26411972 52823944 72632923 85838909 105647888 145265846 171677818 211295776 290531692 343355636 482018489 581063384 686711272 944227999 964036978 1162126768 1373422544 1888455998 1928073956 2324253536 2746845088 3776911996 3856147912 5302203379 6266240357 7553823992 7712295824 10604406758 12532480714 15107647984 15424591648 21208813516 25064961428 30215295968 42417627032 50129922856 68928643927 84835254064 100259845712 137857287854 169670508128 200519691424 275714575708 551429151416 1102858302832 2205716605664