Search a number
-
+
13818385173474 = 233795213839573
BaseRepresentation
bin1100100100010101011111…
…1100001000101111100010
31210221000200000120211222000
43021011113330020233202
53302400023101022344
645220024543024430
72624226315656310
oct311052774105742
953830600524860
1013818385173474
114448387205432
12167211929b116
137930b68b525b
1435ab55ddd0b0
1518e6aba67a69
hexc9157f08be2

13818385173474 has 64 divisors (see below), whose sum is σ = 35098006682880. Its totient is φ = 3947694347520.

The previous prime is 13818385173473. The next prime is 13818385173503. The reversal of 13818385173474 is 47437158381831.

13818385173474 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 83 + 8 + 517 + 34 + 7 + 4 = 666.

13818385173474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (13818385173473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679152 + ... + 5518724.

It is an arithmetic number, because the mean of its divisors is an integer number (548406354420).

Almost surely, 213818385173474 is an apocalyptic number.

13818385173474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13818385173474 is an abundant number, since it is smaller than the sum of its proper divisors (21279621509406).

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

13818385173474 is a wasteful number, since it uses less digits than its factorization.

13818385173474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3849112 (or 3849106 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 13818385173474 in words is "thirteen trillion, eight hundred eighteen billion, three hundred eighty-five million, one hundred seventy-three thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 9521 19042 28563 57126 66647 85689 133294 171378 199941 257067 399882 514134 599823 1199646 1799469 3598938 3839573 7679146 11518719 23037438 26877011 34556157 53754022 69112314 80631033 103668471 161262066 207336942 241893099 483786198 725679297 1451358594 36556574533 73113149066 109669723599 219339447198 255896021731 329009170797 511792043462 658018341594 767688065193 987027512391 1535376130386 1974055024782 2303064195579 4606128391158 6909192586737 13818385173474