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2045848141 = 37731096949
BaseRepresentation
bin111100111110001…
…0010101001001101
312021120121212001101
41321330102221031
513142214120031
6535001343101
7101461264561
oct17174225115
95246555041
102045848141
1195a911a97
12491197a91
13267b0aa3c
141559d16a1
15be91c361
hex79f12a4d

2045848141 has 16 divisors (see below), whose sum is σ = 2149774000. Its totient is φ = 1944995328.

The previous prime is 2045848139. The next prime is 2045848151. The reversal of 2045848141 is 1418485402.

It is the 18466-th star number.

It can be written as a sum of positive squares in 8 ways, for example, as 604127241 + 1441720900 = 24579^2 + 37970^2 .

It is a cyclic number.

It is not a de Polignac number, because 2045848141 - 21 = 2045848139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 2045848141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045848151) 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 15 ways as a sum of consecutive naturals, for example, 290935 + ... + 297883.

It is an arithmetic number, because the mean of its divisors is an integer number (134360875).

Almost surely, 22045848141 is an apocalyptic number.

It is an amenable number.

2045848141 is a deficient number, since it is larger than the sum of its proper divisors (103925859).

2045848141 is a wasteful number, since it uses less digits than its factorization.

2045848141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7168.

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 2045848141 is about 45231.0528398356. The cubic root of 2045848141 is about 1269.4759118477.

The spelling of 2045848141 in words is "two billion, forty-five million, eight hundred forty-eight thousand, one hundred forty-one".

Divisors: 1 37 73 109 2701 4033 6949 7957 257113 294409 507277 757441 18769249 28025317 55293193 2045848141