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27066107670 = 23572319129339
BaseRepresentation
bin11001001101010001…
…000000011100010110
32120212021122201201020
4121031101000130112
5420412410421140
620233424342010
71645503055620
oct311521003426
976767581636
1027066107670
111052a126328
1252b4474906
1327245b8834
14144a92dc10
15a862926d0
hex64d440716

27066107670 has 128 divisors (see below), whose sum is σ = 77874462720. Its totient is φ = 5886376320.

The previous prime is 27066107623. The next prime is 27066107713. The reversal of 27066107670 is 7670166072.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 907861 + ... + 937199.

It is an arithmetic number, because the mean of its divisors is an integer number (608394240).

Almost surely, 227066107670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27066107670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38937231360).

27066107670 is an abundant number, since it is smaller than the sum of its proper divisors (50808355050).

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

27066107670 is a wasteful number, since it uses less digits than its factorization.

27066107670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29570.

The product of its (nonzero) digits is 148176, while the sum is 42.

The spelling of 27066107670 in words is "twenty-seven billion, sixty-six million, one hundred seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 191 210 230 322 345 382 483 573 690 805 955 966 1146 1337 1610 1910 2415 2674 2865 4011 4393 4830 5730 6685 8022 8786 13179 13370 20055 21965 26358 29339 30751 40110 43930 58678 61502 65895 88017 92253 131790 146695 153755 176034 184506 205373 293390 307510 410746 440085 461265 616119 674797 880170 922530 1026865 1232238 1349594 2024391 2053730 3080595 3373985 4048782 4723579 5603749 6161190 6747970 9447158 10121955 11207498 14170737 16811247 20243910 23617895 28018745 28341474 33622494 39226243 47235790 56037490 70853685 78452486 84056235 117678729 128886227 141707370 168112470 196131215 235357458 257772454 386658681 392262430 588393645 644431135 773317362 902203589 1176787290 1288862270 1804407178 1933293405 2706610767 3866586810 4511017945 5413221534 9022035890 13533053835 27066107670