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2671820349 = 31180964253
BaseRepresentation
bin1001111101000000…
…1011111000111101
320220012111112111020
42133100023320331
520432441222344
61121042214353
7123132045462
oct23720137075
96805445436
102671820349
11115119a1a0
126269543b9
133376cb1b3
141b4bb9669
1510986a719
hex9f40be3d

2671820349 has 8 divisors (see below), whose sum is σ = 3886284192. Its totient is φ = 1619285040.

The previous prime is 2671820321. The next prime is 2671820353. The reversal of 2671820349 is 9430281762.

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

It is not a de Polignac number, because 2671820349 - 29 = 2671819837 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 2671820349.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671820399) 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, 40482094 + ... + 40482159.

It is an arithmetic number, because the mean of its divisors is an integer number (485785524).

Almost surely, 22671820349 is an apocalyptic number.

It is an amenable number.

2671820349 is a deficient number, since it is larger than the sum of its proper divisors (1214463843).

2671820349 is a wasteful number, since it uses less digits than its factorization.

2671820349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80964267.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2671820349 is about 51689.6541776011. The cubic root of 2671820349 is about 1387.6153147565.

The spelling of 2671820349 in words is "two billion, six hundred seventy-one million, eight hundred twenty thousand, three hundred forty-nine".

Divisors: 1 3 11 33 80964253 242892759 890606783 2671820349