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2068416477 = 32409561917
BaseRepresentation
bin111101101001001…
…1000011111011101
312100011002102222200
41323102120133131
513214003311402
6541125202113
7102154151511
oct17322303735
95304072880
102068416477
11971626a06
12498860339
1326c6b019a
141589c8141
15c18c921c
hex7b4987dd

2068416477 has 12 divisors (see below), whose sum is σ = 2995022940. Its totient is φ = 1375570368.

The previous prime is 2068416463. The next prime is 2068416479. The reversal of 2068416477 is 7746148602.

It can be written as a sum of positive squares in 2 ways, for example, as 1794877956 + 273538521 = 42366^2 + 16539^2 .

It is not a de Polignac number, because 2068416477 - 27 = 2068416349 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068416479) 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 11 ways as a sum of consecutive naturals, for example, 277278 + ... + 284639.

It is an arithmetic number, because the mean of its divisors is an integer number (249585245).

Almost surely, 22068416477 is an apocalyptic number.

It is an amenable number.

2068416477 is a deficient number, since it is larger than the sum of its proper divisors (926606463).

2068416477 is a wasteful number, since it uses less digits than its factorization.

2068416477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562332 (or 562329 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2068416477 is about 45479.8469324601. The cubic root of 2068416477 is about 1274.1268356118.

The spelling of 2068416477 in words is "two billion, sixty-eight million, four hundred sixteen thousand, four hundred seventy-seven".

Divisors: 1 3 9 409 1227 3681 561917 1685751 5057253 229824053 689472159 2068416477