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2505933423 = 33719368699
BaseRepresentation
bin1001010101011101…
…1000001001101111
320110122100121102000
42111113120021233
520113004332143
61052354503343
7116046040230
oct22527301157
96418317360
102505933423
111076596964
1259b294b53
1330c229056
1419ab57087
15e9eedbd3
hex955d826f

2505933423 has 32 divisors (see below), whose sum is σ = 4264896000. Its totient is φ = 1424521728.

The previous prime is 2505933361. The next prime is 2505933431. The reversal of 2505933423 is 3243395052.

2505933423 is a `hidden beast` number, since 25 + 0 + 593 + 3 + 42 + 3 = 666.

It is not a de Polignac number, because 2505933423 - 29 = 2505932911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505933323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2128 + ... + 70826.

It is an arithmetic number, because the mean of its divisors is an integer number (133278000).

Almost surely, 22505933423 is an apocalyptic number.

2505933423 is a deficient number, since it is larger than the sum of its proper divisors (1758962577).

2505933423 is a wasteful number, since it uses less digits than its factorization.

2505933423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68908 (or 68902 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 2505933423 is about 50059.2990662075. The cubic root of 2505933423 is about 1358.2816791662.

It can be divided in two parts, 250593 and 3423, that added together give a square (254016 = 5042).

The spelling of 2505933423 in words is "two billion, five hundred five million, nine hundred thirty-three thousand, four hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 189 193 579 1351 1737 4053 5211 12159 36477 68699 206097 480893 618291 1442679 1854873 4328037 12984111 13258907 39776721 92812349 119330163 278437047 357990489 835311141 2505933423