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2126064105 = 35511271587
BaseRepresentation
bin111111010111001…
…0010100111101001
312111011120020200000
41332232102213221
513323233022410
6550544533213
7103454150424
oct17656224751
95434506600
102126064105
119a1120480
124b4021209
1327b6154c9
141625129bb
15c69b4dc0
hex7eb929e9

2126064105 has 96 divisors (see below), whose sum is σ = 4191602688. Its totient is φ = 1025265600.

The previous prime is 2126064079. The next prime is 2126064119. The reversal of 2126064105 is 5014606212.

2126064105 is a `hidden beast` number, since 2 + 12 + 6 + 0 + 641 + 0 + 5 = 666.

It is not a de Polignac number, because 2126064105 - 210 = 2126063081 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3621622 + ... + 3622208.

It is an arithmetic number, because the mean of its divisors is an integer number (43662528).

Almost surely, 22126064105 is an apocalyptic number.

It is an amenable number.

2126064105 is a deficient number, since it is larger than the sum of its proper divisors (2065538583).

2126064105 is a wasteful number, since it uses less digits than its factorization.

2126064105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2126064105 is about 46109.2626811577. The cubic root of 2126064105 is about 1285.8553566637.

The spelling of 2126064105 in words is "two billion, one hundred twenty-six million, sixty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 81 99 135 165 243 271 297 405 495 587 813 891 1215 1355 1485 1761 2439 2673 2935 2981 4065 4455 5283 6457 7317 8805 8943 12195 13365 14905 15849 19371 21951 26415 26829 32285 36585 44715 47547 58113 65853 79245 80487 96855 109755 134145 142641 159077 174339 237735 241461 290565 329265 402435 477231 523017 713205 724383 795385 871695 1207305 1431693 1569051 1749847 2386155 2615085 3621915 4295079 5249541 7158465 7845255 8749235 12885237 15748623 21475395 26247705 38655711 47245869 64426185 78743115 141737607 193278555 236229345 425212821 708688035 2126064105