Search a number
-
+
2631002054544 = 2432175310422617
BaseRepresentation
bin100110010010010011111…
…100010101111110010000
3100022112002001112110020200
4212102103330111332100
5321101243011221134
65332355440535200
7361040453320533
oct46222374257620
910275061473220
102631002054544
11924890084866
12365aa5321500
13161144063046
14914ac2a2a1a
154868990e499
hex26493f15f90

2631002054544 has 60 divisors (see below), whose sum is σ = 7367352604716. Its totient is φ = 876500315136.

The previous prime is 2631002054539. The next prime is 2631002054557. The reversal of 2631002054544 is 4454502001362.

2631002054544 is a `hidden beast` number, since 2 + 6 + 3 + 100 + 2 + 0 + 5 + 4 + 544 = 666.

2631002054544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 484015186944 + 2146986867600 = 695712^2 + 1465260^2 .

It is a super-2 number, since 2×26310020545442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2631002054499 and 2631002054508.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4958877 + ... + 5463740.

Almost surely, 22631002054544 is an apocalyptic number.

2631002054544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2631002054544 is an abundant number, since it is smaller than the sum of its proper divisors (4736350550172).

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

2631002054544 is a wasteful number, since it uses less digits than its factorization.

2631002054544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424384 (or 10424375 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2631002054544 in words is "two trillion, six hundred thirty-one billion, two million, fifty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1753 3506 5259 7012 10518 14024 15777 21036 28048 31554 42072 63108 84144 126216 252432 10422617 20845234 31267851 41690468 62535702 83380936 93803553 125071404 166761872 187607106 250142808 375214212 500285616 750428424 1500856848 18270847601 36541695202 54812542803 73083390404 109625085606 146166780808 164437628409 219250171212 292333561616 328875256818 438500342424 657750513636 877000684848 1315501027272 2631002054544