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27143126604 = 223211476592213
BaseRepresentation
bin11001010001110110…
…110011111001001100
32121001122120200211100
4121101312303321030
5421042120022404
620245215223100
71650426524616
oct312166637114
977048520740
1027143126604
1110569650840
125316217a90
132737544079
141456c5bdb6
15a8ce07d39
hex651db3e4c

27143126604 has 144 divisors (see below), whose sum is σ = 76592355840. Its totient is φ = 8034337920.

The previous prime is 27143126561. The next prime is 27143126623. The reversal of 27143126604 is 40662134172.

27143126604 is a `hidden beast` number, since 2 + 7 + 1 + 43 + 1 + 2 + 6 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 12264202 + ... + 12266414.

It is an arithmetic number, because the mean of its divisors is an integer number (531891360).

Almost surely, 227143126604 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 27143126604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38296177920).

27143126604 is an abundant number, since it is smaller than the sum of its proper divisors (49449229236).

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

27143126604 is a wasteful number, since it uses less digits than its factorization.

27143126604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 27143126604 in words is "twenty-seven billion, one hundred forty-three million, one hundred twenty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 659 846 1034 1318 1551 1692 1977 2068 2213 2636 3102 3954 4426 4653 5931 6204 6639 7249 7908 8852 9306 11862 13278 14498 18612 19917 21747 23724 24343 26556 28996 30973 39834 43494 48686 61946 65241 73029 79668 86988 92919 97372 104011 123892 130482 146058 185838 208022 219087 260964 278757 292116 312033 340703 371676 416044 438174 557514 624066 681406 876348 936099 1022109 1115028 1144121 1248132 1362812 1458367 1872198 2044218 2288242 2916734 3066327 3432363 3744396 4088436 4375101 4576484 5833468 6132654 6864726 8750202 10297089 12265308 13125303 13729452 16042037 17500404 20594178 26250606 32084074 41188356 48126111 52501212 64168148 68543249 96252222 137086498 144378333 192504444 205629747 274172996 288756666 411259494 577513332 616889241 753975739 822518988 1233778482 1507951478 2261927217 2467556964 3015902956 4523854434 6785781651 9047708868 13571563302 27143126604