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5605122666 = 231113172511531
BaseRepresentation
bin1010011100001011…
…10110001001101010
3112110122000201210210
411032011312021222
542434402411131
62324105121550
7255620520333
oct51605661152
915418021723
105605122666
112416a44690
1211051892b6
136b432c040
143b25bd28a
1522c137146
hex14e17626a

5605122666 has 128 divisors (see below), whose sum is σ = 14009490432. Its totient is φ = 1468800000.

The previous prime is 5605122659. The next prime is 5605122671. The reversal of 5605122666 is 6662215065.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3660321 + ... + 3661851.

It is an arithmetic number, because the mean of its divisors is an integer number (109449144).

Almost surely, 25605122666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5605122666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7004745216).

5605122666 is an abundant number, since it is smaller than the sum of its proper divisors (8404367766).

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

5605122666 is a wasteful number, since it uses less digits than its factorization.

5605122666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828.

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 5605122666 is about 74867.3671635379. The cubic root of 5605122666 is about 1776.3493188940.

It can be divided in two parts, 5605 and 122666, that added together give a triangular number (128271 = T506).

The spelling of 5605122666 in words is "five billion, six hundred five million, one hundred twenty-two thousand, six hundred sixty-six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 251 286 374 429 442 502 561 663 753 858 1122 1326 1506 1531 2431 2761 3062 3263 4267 4593 4862 5522 6526 7293 8283 8534 9186 9789 12801 14586 16566 16841 19578 19903 25602 26027 33682 35893 39806 46937 50523 52054 55471 59709 71786 78081 93874 101046 107679 110942 119418 140811 156162 166413 215358 218933 281622 286297 332826 338351 384281 437866 572594 610181 656799 676702 768562 858891 1015053 1152843 1220362 1313598 1717782 1830543 2030106 2305686 3661086 3721861 4227091 4995653 6532777 7443722 8454182 9991306 11165583 12681273 13065554 14986959 19598331 22331166 25362546 29973918 39196662 54952183 71860547 84926101 109904366 143721094 164856549 169852202 215581641 254778303 329713098 431163282 509556606 934187111 1868374222 2802561333 5605122666