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5022982129 = 1121723792
BaseRepresentation
bin1001010110110010…
…01001111111110001
3110222001121221010011
410223121021333301
540241340412004
62150231534521
7235321433524
oct45331117761
913861557104
105022982129
112148384900
12b8222a441
13620847499
14359164bbb
151e5e96004
hex12b649ff1

5022982129 has 27 divisors (see below), whose sum is σ = 5880521451. Its totient is φ = 4286399040.

The previous prime is 5022982123. The next prime is 5022982141. The reversal of 5022982129 is 9212892205.

The square root of 5022982129 is 70873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3910626225 + 1112355904 = 62535^2 + 33352^2 .

It is not a de Polignac number, because 5022982129 - 27 = 5022982001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5022982091 and 5022982100.

It is not an unprimeable number, because it can be changed into a prime (5022982123) 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 26 ways as a sum of consecutive naturals, for example, 13253062 + ... + 13253440.

Almost surely, 25022982129 is an apocalyptic number.

5022982129 is the 70873-rd square number.

5022982129 is the 35437-th centered octagonal number.

It is an amenable number.

5022982129 is a deficient number, since it is larger than the sum of its proper divisors (857539322).

5022982129 is an equidigital number, since it uses as much as digits as its factorization.

5022982129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 5022982129 is about 1712.5918686503.

The spelling of 5022982129 in words is "five billion, twenty-two million, nine hundred eighty-two thousand, one hundred twenty-nine".

Divisors: 1 11 17 121 187 289 379 2057 3179 4169 6443 34969 45859 70873 109531 143641 779603 1204841 1580051 2441897 13253251 17380561 26860867 41512249 295469537 456634739 5022982129