Search a number
-
+
104386763186321 = 7112295238125729
BaseRepresentation
bin10111101111000001101111…
…111100000110000010010001
3111200121021111000011210110012
4113233001233330012002101
5102140233042333430241
61010002341134044305
730662460206040020
oct2757015774060221
9450537430153405
10104386763186321
11302961a5509100
12b85aa2b949695
134632825104585
141bac4bc3428b7
15c105150446eb
hex5ef06ff06091

104386763186321 has 48 divisors (see below), whose sum is σ = 135911610038400. Its totient is φ = 78385322695680.

The previous prime is 104386763186261. The next prime is 104386763186323. The reversal of 104386763186321 is 123681367683401.

It is not a de Polignac number, because 104386763186321 - 26 = 104386763186257 is a prime.

It is a super-2 number, since 2×1043867631863212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104386763186323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8783585 + ... + 16909313.

It is an arithmetic number, because the mean of its divisors is an integer number (2831491875800).

Almost surely, 2104386763186321 is an apocalyptic number.

104386763186321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104386763186321 is a deficient number, since it is larger than the sum of its proper divisors (31524846852079).

104386763186321 is a wasteful number, since it uses less digits than its factorization.

104386763186321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8126310 (or 8126299 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 59.

The spelling of 104386763186321 in words is "one hundred four trillion, three hundred eighty-six billion, seven hundred sixty-three million, one hundred eighty-six thousand, three hundred twenty-one".

Divisors: 1 7 11 29 77 121 203 319 523 847 2233 3509 3661 5753 15167 24563 40271 63283 106169 166837 442981 1167859 1835207 8125729 12846449 56880103 89383019 235646141 625681133 983213209 1649522987 2592107551 4249756267 6882492463 18144752857 28513183061 29748293869 46747318937 123242931743 199592281427 327231232559 514220508307 862700522201 1355672249173 3599543558149 9489705744211 14912394740903 104386763186321