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13857059169387 = 3371728115348079
BaseRepresentation
bin1100100110100101100100…
…0101101110010001101011
31211001201111021112101211000
43021221121011232101223
53304013224121410022
645245502313010043
72630065562343060
oct311513105562153
954051437471730
1013857059169387
114462822714a25
1216797110b3923
1379693b0265c5
1435c98443ac67
151906c1e246ac
hexc9a5916e46b

13857059169387 has 64 divisors (see below), whose sum is σ = 24930193305600. Its totient is φ = 7426014059520.

The previous prime is 13857059169311. The next prime is 13857059169439. The reversal of 13857059169387 is 78396195075831.

13857059169387 is a `hidden beast` number, since 1 + 3 + 8 + 570 + 5 + 9 + 16 + 9 + 38 + 7 = 666.

13857059169387 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13857059169387 - 230 = 13855985427563 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13857059169287) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6771187 + ... + 8576892.

It is an arithmetic number, because the mean of its divisors is an integer number (389534270400).

Almost surely, 213857059169387 is an apocalyptic number.

13857059169387 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13857059169387 is a deficient number, since it is larger than the sum of its proper divisors (11073134136213).

13857059169387 is a wasteful number, since it uses less digits than its factorization.

13857059169387 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15348393 (or 15348387 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 72.

The spelling of 13857059169387 in words is "thirteen trillion, eight hundred fifty-seven billion, fifty-nine million, one hundred sixty-nine thousand, three hundred eighty-seven".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 281 357 459 843 1071 1967 2529 3213 4777 5901 7587 14331 17703 33439 42993 53109 100317 128979 300951 902853 15348079 46044237 107436553 138132711 260917343 322309659 414398133 782752029 966928977 1826421401 2348256087 2900786931 4312810199 5479264203 7044768261 12938430597 16437792609 30189671393 38815291791 49313377827 73317773383 90569014179 116445875373 219953320149 271707042537 513224413681 659859960447 815121127611 1539673241043 1979579881341 4619019723129 13857059169387