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2096179856761 = 19218124212
BaseRepresentation
bin11110100000001110000…
…011100100010101111001
321102101121101012210212011
4132200032003210111321
5233320434020404021
64242545521045521
7304305201540514
oct36401603442571
97371541183764
102096179856761
11738a91977811
1229a3064868a1
131228907a6013
1473654417d7b
15397d6b6cde1
hex1e80e0e4579

2096179856761 has 27 divisors (see below), whose sum is σ = 2229898591629. Its totient is φ = 1970192095200.

The previous prime is 2096179856713. The next prime is 2096179856779. The reversal of 2096179856761 is 1676589716902.

The square root of 2096179856761 is 1447819.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2033279216761 + 62900640000 = 1425931^2 + 250800^2 .

It is not a de Polignac number, because 2096179856761 - 221 = 2096177759609 is a prime.

It is a super-2 number, since 2×20961798567612 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2096179826761) 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, 4979049331 + ... + 4979049751.

It is an arithmetic number, because the mean of its divisors is an integer number (82588836727).

Almost surely, 22096179856761 is an apocalyptic number.

2096179856761 is the 1447819-th square number.

2096179856761 is the 723910-th centered octagonal number.

It is an amenable number.

2096179856761 is a deficient number, since it is larger than the sum of its proper divisors (133718734868).

2096179856761 is an frugal number, since it uses more digits than its factorization.

2096179856761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 67.

The spelling of 2096179856761 in words is "two trillion, ninety-six billion, one hundred seventy-nine million, eight hundred fifty-six thousand, seven hundred sixty-one".

Divisors: 1 19 181 361 421 3439 7999 32761 65341 76201 151981 177241 622459 1447819 3367579 11826721 13792381 27508561 32080621 63984001 262055239 609531799 4979049541 5806592401 11581104181 110325255619 2096179856761