Search a number
-
+
2153511146655 = 3251131140339599
BaseRepresentation
bin11111010101100111010…
…001000101010010011111
321121212120220011002120100
4133111213101011102133
5240240342323143110
64325150453352143
7311405004502341
oct37254721052237
97555526132510
102153511146655
1176033199a430
122a9446638653
131280c93838ab
14763326a1291
153b03ee6bbc0
hex1f56744549f

2153511146655 has 48 divisors (see below), whose sum is σ = 4203451699200. Its totient is φ = 1010445105600.

The previous prime is 2153511146623. The next prime is 2153511146687. The reversal of 2153511146655 is 5566411153512.

2153511146655 is a `hidden beast` number, since 2 + 1 + 535 + 1 + 1 + 1 + 4 + 66 + 55 = 666.

It is an interprime number because it is at equal distance from previous prime (2153511146623) and next prime (2153511146687).

It is not a de Polignac number, because 2153511146655 - 25 = 2153511146623 is a prime.

It is a super-2 number, since 2×21535111466552 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2153511146655.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70154455 + ... + 70185144.

It is an arithmetic number, because the mean of its divisors is an integer number (87571910400).

Almost surely, 22153511146655 is an apocalyptic number.

2153511146655 is a deficient number, since it is larger than the sum of its proper divisors (2049940552545).

2153511146655 is a wasteful number, since it uses less digits than its factorization.

2153511146655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140339652 (or 140339649 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 2153511146655 in words is "two trillion, one hundred fifty-three billion, five hundred eleven million, one hundred forty-six thousand, six hundred fifty-five".

Divisors: 1 3 5 9 11 15 31 33 45 55 93 99 155 165 279 341 465 495 1023 1395 1705 3069 5115 15345 140339599 421018797 701697995 1263056391 1543735589 2105093985 4350527569 4631206767 6315281955 7718677945 13051582707 13893620301 21752637845 23156033835 39154748121 47855803259 65257913535 69468101505 143567409777 195773740605 239279016295 430702229331 717837048885 2153511146655