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135685842458355 = 32571721250289777
BaseRepresentation
bin11110110110011111010010…
…011100001101011011110011
3122210102102212122201011211200
4132312133102130031123303
5120241034101132131410
61200325114314342243
740402656444161550
oct3666372234153363
9583372778634750
10135685842458355
113a263051821842
12132749aa12a983
135a931739679b7
142571330883a27
1510a4777ec03c0
hex7b67d270d6f3

135685842458355 has 48 divisors (see below), whose sum is σ = 268943374574784. Its totient is φ = 61991771719680.

The previous prime is 135685842458351. The next prime is 135685842458407. The reversal of 135685842458355 is 553854248586531.

135685842458355 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 584 + 2 + 4 + 5 + 8 + 35 + 5 = 666.

It is not a de Polignac number, because 135685842458355 - 22 = 135685842458351 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135685842458351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124602774 + ... + 125687003.

It is an arithmetic number, because the mean of its divisors is an integer number (5602986970308).

Almost surely, 2135685842458355 is an apocalyptic number.

135685842458355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135685842458355 is a deficient number, since it is larger than the sum of its proper divisors (133257532116429).

135685842458355 is a wasteful number, since it uses less digits than its factorization.

135685842458355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250291516 (or 250291513 counting only the distinct ones).

The product of its digits is 2764800000, while the sum is 72.

The spelling of 135685842458355 in words is "one hundred thirty-five trillion, six hundred eighty-five billion, eight hundred forty-two million, four hundred fifty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1721 5163 8605 12047 15489 25815 36141 60235 77445 108423 180705 542115 250289777 750869331 1251448885 1752028439 2252607993 3754346655 5256085317 8760142195 11263039965 15768255951 26280426585 78841279755 430748706217 1292246118651 2153743531085 3015240943519 3876738355953 6461230593255 9045722830557 15076204717595 19383691779765 27137168491671 45228614152785 135685842458355