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2829316141 = 89241131909
BaseRepresentation
bin1010100010100011…
…1111000000101101
321022011212011002201
42220220333000231
521243301104031
61144430021501
7130053535051
oct25050770055
97264764081
102829316141
111222091103
1266b647891
13361222b82
141cba95c61
151185cad61
hexa8a3f02d

2829316141 has 8 divisors (see below), whose sum is σ = 2872999800. Its totient is φ = 2785896960.

The previous prime is 2829316129. The next prime is 2829316187. The reversal of 2829316141 is 1416139282.

It can be written as a sum of positive squares in 4 ways, for example, as 606193641 + 2223122500 = 24621^2 + 47150^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2829316141 - 219 = 2828791853 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2829316141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829316121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44506 + ... + 87403.

It is an arithmetic number, because the mean of its divisors is an integer number (359124975).

Almost surely, 22829316141 is an apocalyptic number.

It is an amenable number.

2829316141 is a deficient number, since it is larger than the sum of its proper divisors (43683659).

2829316141 is a wasteful number, since it uses less digits than its factorization.

2829316141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132239.

The product of its digits is 20736, while the sum is 37.

The square root of 2829316141 is about 53191.3164059699. The cubic root of 2829316141 is about 1414.3617162275.

The spelling of 2829316141 in words is "two billion, eight hundred twenty-nine million, three hundred sixteen thousand, one hundred forty-one".

Divisors: 1 89 241 21449 131909 11739901 31790069 2829316141