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1329162269449 = 72109215112
BaseRepresentation
bin10011010101111000001…
…111101011001100001001
311201001210121022020022211
4103111320033223030021
5133234111020110244
62454335252145121
7165012610610200
oct23257017531411
94631717266284
101329162269449
114727704a4923
121957259081a1
1398454a58a91
1448490646237
1524894222934
hex135783eb309

1329162269449 has 27 divisors (see below), whose sum is σ = 1561516955271. Its totient is φ = 1128082742640.

The previous prime is 1329162269443. The next prime is 1329162269531. The reversal of 1329162269449 is 9449622619231.

The square root of 1329162269449 is 1152893.

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., 926419725049 + 402742544400 = 962507^2 + 634620^2 .

It is not a de Polignac number, because 1329162269449 - 211 = 1329162267401 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1329162269393 and 1329162269402.

It is not an unprimeable number, because it can be changed into a prime (1329162269443) 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, 879656604 + ... + 879658114.

Almost surely, 21329162269449 is an apocalyptic number.

1329162269449 is the 1152893-rd square number.

1329162269449 is the 576447-th centered octagonal number.

It is an amenable number.

1329162269449 is a deficient number, since it is larger than the sum of its proper divisors (232354685822).

1329162269449 is an frugal number, since it uses more digits than its factorization.

1329162269449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 1627 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 58.

The spelling of 1329162269449 in words is "one trillion, three hundred twenty-nine billion, one hundred sixty-two million, two hundred sixty-nine thousand, four hundred forty-nine".

Divisors: 1 7 49 109 763 1511 5341 10577 11881 74039 83167 164699 582169 1152893 2283121 8070251 15981847 17952191 111872929 125665337 248860189 879657359 1742021323 12194149261 27125760601 189880324207 1329162269449