Search a number
-
+
107836729084275 = 3521985661883423
BaseRepresentation
bin11000100001001110110001…
…111011100100100101110011
3112010211002110001200001022020
4120201032301323210211303
5103113244110121144100
61021203302012242523
731466642450236032
oct3041166173444563
9463732401601266
10107836729084275
11313a63332a7914
1210117592470443
134822c62c323a9
141c8b47b3b2719
15c70132a3c5a0
hex6213b1ee4973

107836729084275 has 48 divisors (see below), whose sum is σ = 187676149386240. Its totient is φ = 54485228534400.

The previous prime is 107836729084261. The next prime is 107836729084309. The reversal of 107836729084275 is 572480927638701.

107836729084275 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 107836729084275 - 214 = 107836729067891 is a prime.

It is a super-3 number, since 3×1078367290842753 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121625214 + ... + 122508636.

It is an arithmetic number, because the mean of its divisors is an integer number (3909919778880).

It is a 1-persistent number, because it is pandigital, but 2⋅107836729084275 = 215673458168550 is not.

Almost surely, 2107836729084275 is an apocalyptic number.

107836729084275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107836729084275 is a deficient number, since it is larger than the sum of its proper divisors (79839420301965).

107836729084275 is a wasteful number, since it uses less digits than its factorization.

107836729084275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969116 (or 969111 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 107836729084275 in words is "one hundred seven trillion, eight hundred thirty-six billion, seven hundred twenty-nine million, eighty-four thousand, two hundred seventy-five".

Divisors: 1 3 5 15 19 25 57 75 95 285 475 1425 85661 256983 428305 883423 1284915 1627559 2141525 2650269 4417115 4882677 6424575 8137795 13251345 16785037 22085575 24413385 40688975 50355111 66256725 83925185 122066925 251775555 419625925 1258877775 75674897603 227024692809 378374488015 1135123464045 1437823054457 1891872440075 4313469163371 5675617320225 7189115272285 21567345816855 35945576361425 107836729084275