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27146995664670 = 23257311390015139
BaseRepresentation
bin1100010110000101001110…
…00010001000011100011110
310120010020010210200221121200
412023002213002020130132
512024234021342232140
6133423054014540330
75501206600563210
oct613024702103436
9116106123627550
1027146995664670
118716a81371972
123065329b076a6
13121bc48919bab
1469bcc8c305b0
15321250516030
hex18b0a708871e

27146995664670 has 96 divisors (see below), whose sum is σ = 83267466946560. Its totient is φ = 6004865396160.

The previous prime is 27146995664669. The next prime is 27146995664681. The reversal of 27146995664670 is 7646659964172.

27146995664670 is a `hidden beast` number, since 2 + 7 + 1 + 469 + 9 + 56 + 6 + 46 + 70 = 666.

It is a super-2 number, since 2×271469956646702 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 694988040 + ... + 695027099.

It is an arithmetic number, because the mean of its divisors is an integer number (867369447360).

Almost surely, 227146995664670 is an apocalyptic number.

27146995664670 is an abundant number, since it is smaller than the sum of its proper divisors (56120471281890).

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

27146995664670 is a wasteful number, since it uses less digits than its factorization.

27146995664670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390015190 (or 1390015187 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 27146995664670 in words is "twenty-seven trillion, one hundred forty-six billion, nine hundred ninety-five million, six hundred sixty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 1390015139 2780030278 4170045417 6950075695 8340090834 9730105973 12510136251 13900151390 19460211946 20850227085 25020272502 29190317919 41700454170 43090469309 48650529865 58380635838 62550681255 86180938618 87570953757 97301059730 125101362510 129271407927 145951589595 175141907514 215452346545 258542815854 291903179190 301633285163 387814223781 430904693090 437854768785 603266570326 646357039635 775628447562 875709537570 904899855489 1292714079270 1508166425815 1809799710978 1939071118905 2714699566467 3016332851630 3878142237810 4524499277445 5429399132934 9048998554890 13573497832335 27146995664670