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2505612416 = 2719575097
BaseRepresentation
bin1001010101011000…
…1001110010000000
320110121202022001212
42111112021302000
520112414044131
61052343545252
7116043232316
oct22526116200
96417668055
102505612416
11107639776a
1259b15b228
1330c145bc8
1419aab20b6
15e9e88a2b
hex95589c80

2505612416 has 16 divisors (see below), whose sum is σ = 4991649990. Its totient is φ = 1252806144.

The previous prime is 2505612359. The next prime is 2505612419. The reversal of 2505612416 is 6142165052.

It can be written as a sum of positive squares in only one way, i.e., 2162622016 + 342990400 = 46504^2 + 18520^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2505612419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9787421 + ... + 9787676.

Almost surely, 22505612416 is an apocalyptic number.

It is an amenable number.

2505612416 is a deficient number, since it is larger than the sum of its proper divisors (2486037574).

2505612416 is an equidigital number, since it uses as much as digits as its factorization.

2505612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19575111 (or 19575099 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 2505612416 is about 50056.0926960944. The cubic root of 2505612416 is about 1358.2236786168.

Adding to 2505612416 its reverse (6142165052), we get a palindrome (8647777468).

The spelling of 2505612416 in words is "two billion, five hundred five million, six hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 19575097 39150194 78300388 156600776 313201552 626403104 1252806208 2505612416