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13680141781608 = 2332296551792041
BaseRepresentation
bin1100011100010010011111…
…1111011100101001101000
31210102210211121020220120100
43013010213333130221220
53243113412244002413
645032323111225400
72611233444351441
oct307044777345150
953383747226510
1013680141781608
1143a4796438a55
12164b377978260
13783054c2c973
1435419dbd02c8
1518acba17ca73
hexc7127fdca68

13680141781608 has 48 divisors (see below), whose sum is σ = 38327983445700. Its totient is φ = 4402804250880.

The previous prime is 13680141781573. The next prime is 13680141781651. The reversal of 13680141781608 is 80618714108631.

13680141781608 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 0 + 14 + 17 + 8 + 1 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13593836268324 + 86305513284 = 3686982^2 + 293778^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3275893933 + ... + 3275898108.

Almost surely, 213680141781608 is an apocalyptic number.

13680141781608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13680141781608 is an abundant number, since it is smaller than the sum of its proper divisors (24647841664092).

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

13680141781608 is a wasteful number, since it uses less digits than its factorization.

13680141781608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551792082 (or 6551792075 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 13680141781608 in words is "thirteen trillion, six hundred eighty billion, one hundred forty-one million, seven hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 6551792041 13103584082 19655376123 26207168164 39310752246 52414336328 58966128369 78621504492 117932256738 157243008984 190001969189 235864513476 380003938378 471729026952 570005907567 760007876756 1140011815134 1520015753512 1710017722701 2280023630268 3420035445402 4560047260536 6840070890804 13680141781608