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1296416097 = 3489179833
BaseRepresentation
bin100110101000101…
…1011110101100001
310100100102202120000
41031101123311201
510123340303342
6332350410213
744061232524
oct11521336541
93310382500
101296416097
1160587a669
12302200969
13178781922
14c426abbb
1578c3344c
hex4d45bd61

1296416097 has 20 divisors (see below), whose sum is σ = 1958392260. Its totient is φ = 854561664.

The previous prime is 1296416083. The next prime is 1296416111. The reversal of 1296416097 is 7906146921.

It is an interprime number because it is at equal distance from previous prime (1296416083) and next prime (1296416111).

It can be written as a sum of positive squares in 2 ways, for example, as 532501776 + 763914321 = 23076^2 + 27639^2 .

It is not a de Polignac number, because 1296416097 - 218 = 1296153953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1296416047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82708 + ... + 97125.

It is an arithmetic number, because the mean of its divisors is an integer number (97919613).

Almost surely, 21296416097 is an apocalyptic number.

It is an amenable number.

1296416097 is a deficient number, since it is larger than the sum of its proper divisors (661976163).

1296416097 is an equidigital number, since it uses as much as digits as its factorization.

1296416097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179934 (or 179925 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1296416097 is about 36005.7786612094. The cubic root of 1296416097 is about 1090.3890250702.

The spelling of 1296416097 in words is "one billion, two hundred ninety-six million, four hundred sixteen thousand, ninety-seven".

Divisors: 1 3 9 27 81 89 267 801 2403 7209 179833 539499 1618497 4855491 14566473 16005137 48015411 144046233 432138699 1296416097