Search a number
-
+
2533042514052 = 22322910124022633
BaseRepresentation
bin100100110111000101000…
…110010110100010000100
322222011020002101012020100
4210313011012112202010
5313000132340422202
65215355204004100
7351002104054551
oct44670506264204
98864202335210
102533042514052
11897291510136
1234ab06990630
13154b321c56bb
148a85822da28
1545d548ca41c
hex24dc5196884

2533042514052 has 72 divisors (see below), whose sum is σ = 6689342663640. Its totient is φ = 807160435200.

The previous prime is 2533042514003. The next prime is 2533042514063. The reversal of 2533042514052 is 2504152403352.

2533042514052 is a `hidden beast` number, since 2 + 53 + 3 + 0 + 42 + 514 + 0 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268962555456 + 2264079958596 = 518616^2 + 1504686^2 .

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 = 2533042513998 and 2533042514016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11905873 + ... + 12116760.

It is an arithmetic number, because the mean of its divisors is an integer number (92907536995).

Almost surely, 22533042514052 is an apocalyptic number.

It is an amenable number.

2533042514052 is an abundant number, since it is smaller than the sum of its proper divisors (4156300149588).

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

2533042514052 is a wasteful number, since it uses less digits than its factorization.

2533042514052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24022773 (or 24022768 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 2533042514052 in words is "two trillion, five hundred thirty-three billion, forty-two million, five hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 101 116 174 202 261 303 348 404 522 606 909 1044 1212 1818 2929 3636 5858 8787 11716 17574 26361 35148 52722 105444 24022633 48045266 72067899 96090532 144135798 216203697 288271596 432407394 696656357 864814788 1393312714 2089969071 2426285933 2786625428 4179938142 4852571866 6269907213 7278857799 8359876284 9705143732 12539814426 14557715598 21836573397 25079628852 29115431196 43673146794 70362292057 87346293588 140724584114 211086876171 281449168228 422173752342 633260628513 844347504684 1266521257026 2533042514052