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27201142086230 = 25719312239294659
BaseRepresentation
bin1100010111101010000100…
…11010010101101001010110
310120022101220100202011022102
412023311002122111221112
512031130414333224410
6133504010540402102
75505134441556440
oct613650232255126
9116271810664272
1027201142086230
118737a376368a2
12307391b546332
1312240977264a8
146a078410b490
1532286de052a5
hex18bd42695a56

27201142086230 has 128 divisors (see below), whose sum is σ = 60829138944000. Its totient is φ = 8546402067840.

The previous prime is 27201142086221. The next prime is 27201142086263. The reversal of 27201142086230 is 3268024110272.

It is a happy number.

It is a super-2 number, since 2×272011420862302 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 92166641 + ... + 92461299.

It is an arithmetic number, because the mean of its divisors is an integer number (475227648000).

Almost surely, 227201142086230 is an apocalyptic number.

27201142086230 is an abundant number, since it is smaller than the sum of its proper divisors (33627996857770).

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

27201142086230 is a wasteful number, since it uses less digits than its factorization.

27201142086230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296962.

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 27201142086230 in words is "twenty-seven trillion, two hundred one billion, one hundred forty-two million, eighty-six thousand, two hundred thirty".

Divisors: 1 2 5 7 10 14 19 31 35 38 62 70 95 133 155 190 217 266 310 434 589 665 1085 1178 1330 2170 2239 2945 4123 4478 5890 8246 11195 15673 20615 22390 31346 41230 42541 69409 78365 85082 138818 156730 212705 294659 297787 347045 425410 485863 589318 595574 694090 971726 1318771 1473295 1488935 2062613 2429315 2637542 2946590 2977870 4125226 4858630 5598521 6593855 9134429 9231397 10313065 11197042 13187710 18268858 18462794 20626130 27992605 39189647 45672145 46156985 55985210 63941003 78379294 91344290 92313970 127882006 173554151 195948235 319705015 347108302 391896470 639410030 659741501 867770755 1214879057 1319483002 1735541510 2429758114 3298707505 4618190507 6074395285 6597415010 9236381014 12148790570 12535088519 20451986531 23090952535 25070177038 40903973062 46181905070 62675442595 87745619633 102259932655 125350885190 143163905717 175491239266 204519865310 286327811434 388587744089 438728098165 715819528585 777175488178 877456196330 1431639057170 1942938720445 2720114208623 3885877440890 5440228417246 13600571043115 27201142086230