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2423691361 = 721325412
BaseRepresentation
bin1001000001110110…
…1001100001100001
320020220121021111201
42100131221201201
514430431110421
61040300041201
7114030015400
oct22035514141
96226537451
102423691361
111034124213
12577833201
132c8192300
1418dc69637
15e2ba5b91
hex90769861

2423691361 has 27 divisors (see below), whose sum is σ = 3058609113. Its totient is φ = 1914101280.

The previous prime is 2423691359. The next prime is 2423691419. The reversal of 2423691361 is 1631963242.

The square root of 2423691361 is 49231.

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 544989025 + 1878702336 = 23345^2 + 43344^2 .

It is not a de Polignac number, because 2423691361 - 21 = 2423691359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2423691361.

It is not an unprimeable number, because it can be changed into a prime (2423691301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4479751 + ... + 4480291.

It is an arithmetic number, because the mean of its divisors is an integer number (113281819).

Almost surely, 22423691361 is an apocalyptic number.

2423691361 is the 49231-st square number.

2423691361 is the 24616-th centered octagonal number.

It is an amenable number.

2423691361 is a deficient number, since it is larger than the sum of its proper divisors (634917752).

2423691361 is an frugal number, since it uses more digits than its factorization.

2423691361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The cubic root of 2423691361 is about 1343.2569768138.

Multiplying 2423691361 by its product of digits (46656), we get a square (113079744138816 = 106338962).

The spelling of 2423691361 in words is "two billion, four hundred twenty-three million, six hundred ninety-one thousand, three hundred sixty-one".

Divisors: 1 7 13 49 91 169 541 637 1183 3787 7033 8281 26509 49231 91429 292681 344617 640003 2048767 3804853 4480021 14341369 26633971 49463089 186437797 346241623 2423691361