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2506637142 = 232346340213
BaseRepresentation
bin1001010101101000…
…0011111101010110
320110200200100201200
42111122003331112
520113144342032
61052421533330
7116055031002
oct22532037526
96420610650
102506637142
111076a27649
1259b574246
1330c414459
1419ac9b702
15ea0dc47c
hex95683f56

2506637142 has 24 divisors (see below), whose sum is σ = 5432750544. Its totient is φ = 835283664.

The previous prime is 2506637123. The next prime is 2506637191. The reversal of 2506637142 is 2417366052.

2506637142 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 637 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2506637097 and 2506637106.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 42228 + ... + 82440.

It is an arithmetic number, because the mean of its divisors is an integer number (226364606).

Almost surely, 22506637142 is an apocalyptic number.

2506637142 is an abundant number, since it is smaller than the sum of its proper divisors (2926113402).

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

2506637142 is a wasteful number, since it uses less digits than its factorization.

2506637142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43684 (or 43681 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2506637142 is about 50066.3274267246. The cubic root of 2506637142 is about 1358.4088119884.

The spelling of 2506637142 in words is "two billion, five hundred six million, six hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 3463 6926 10389 20778 31167 40213 62334 80426 120639 241278 361917 723834 139257619 278515238 417772857 835545714 1253318571 2506637142