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2505138489152 = 26133010983761
BaseRepresentation
bin100100011101000101111…
…000111100011101000000
322212111012102000212011122
4210131011320330131000
5312021010423123102
65154502243531412
7345663444550355
oct44350570743500
98774172025148
102505138489152
11886472406232
12345619989b68
1315230613c470
148936c30462c
154526ecc10a2
hex24745e3c740

2505138489152 has 28 divisors (see below), whose sum is σ = 5353529128836. Its totient is φ = 1156217763840.

The previous prime is 2505138489151. The next prime is 2505138489197. The reversal of 2505138489152 is 2519848315052.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1017967995136 + 1487170494016 = 1008944^2 + 1219496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2505138489094 and 2505138489103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505138489151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1505491049 + ... + 1505492712.

It is an arithmetic number, because the mean of its divisors is an integer number (191197468887).

Almost surely, 22505138489152 is an apocalyptic number.

It is an amenable number.

2505138489152 is an abundant number, since it is smaller than the sum of its proper divisors (2848390639684).

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

2505138489152 is a wasteful number, since it uses less digits than its factorization.

2505138489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010983786 (or 3010983776 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 53.

The spelling of 2505138489152 in words is "two trillion, five hundred five billion, one hundred thirty-eight million, four hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 3010983761 6021967522 12043935044 24087870088 39142788893 48175740176 78285577786 96351480352 156571155572 192702960704 313142311144 626284622288 1252569244576 2505138489152