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12922460329 = 1923121932
BaseRepresentation
bin11000000100011110…
…10001100010101001
31020100120220000000211
430002033101202221
5202431122212304
65534141101121
7635142046312
oct140217214251
936316800024
1012922460329
115531434789
1226078577a1
1312ac2c343c
148a8343609
15509737204
hex3023d18a9

12922460329 has 27 divisors (see below), whose sum is σ = 14165922519. Its totient is φ = 11786031360.

The previous prime is 12922460311. The next prime is 12922460333. The reversal of 12922460329 is 92306422921.

The square root of 12922460329 is 113677.

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

It can be written as a sum of positive squares in only one way, i.e., 3130962025 + 9791498304 = 55955^2 + 98952^2 .

It is not a de Polignac number, because 12922460329 - 25 = 12922460297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12922460291 and 12922460300.

It is not an unprimeable number, because it can be changed into a prime (12922460339) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66955657 + ... + 66955849.

It is an arithmetic number, because the mean of its divisors is an integer number (524663797).

Almost surely, 212922460329 is an apocalyptic number.

12922460329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12922460329 is the 113677-th square number.

12922460329 is the 56839-th centered octagonal number.

It is an amenable number.

12922460329 is a deficient number, since it is larger than the sum of its proper divisors (1243462190).

12922460329 is an frugal number, since it uses more digits than its factorization.

12922460329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 12922460329 in words is "twelve billion, nine hundred twenty-two million, four hundred sixty thousand, three hundred twenty-nine".

Divisors: 1 19 31 193 361 589 961 3667 5983 11191 18259 37249 69673 113677 185473 346921 707731 1154719 2159863 3523987 13446889 21939661 35796289 66955753 416853559 680129491 12922460329