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1312872729 = 37223216883
BaseRepresentation
bin100111001000000…
…1101100100011001
310101111101211210220
41032100031210121
510142043411404
6334135230253
744351143200
oct11620154431
93344354726
101312872729
1161409a793
12307818389
1317bcc428c
14c6512237
157a3d44d9
hex4e40d919

1312872729 has 36 divisors (see below), whose sum is σ = 2128802256. Its totient is φ = 717552528.

The previous prime is 1312872721. The next prime is 1312872749. The reversal of 1312872729 is 9272782131.

It is not a de Polignac number, because 1312872729 - 23 = 1312872721 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1312872721) 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 35 ways as a sum of consecutive naturals, for example, 69322 + ... + 86204.

It is an arithmetic number, because the mean of its divisors is an integer number (59133396).

Almost surely, 21312872729 is an apocalyptic number.

It is an amenable number.

1312872729 is a deficient number, since it is larger than the sum of its proper divisors (815929527).

1312872729 is a wasteful number, since it uses less digits than its factorization.

1312872729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16946 (or 16916 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 1312872729 is about 36233.5856492288. The cubic root of 1312872729 is about 1094.9834179428.

The spelling of 1312872729 in words is "one billion, three hundred twelve million, eight hundred seventy-two thousand, seven hundred twenty-nine".

Divisors: 1 3 7 21 23 49 69 147 161 483 529 1127 1587 3381 3703 11109 16883 25921 50649 77763 118181 354543 388309 827267 1164927 2481801 2718163 8154489 8931107 19027141 26793321 57081423 62517749 187553247 437624243 1312872729