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13716947349 = 35721736659
BaseRepresentation
bin11001100011001100…
…00000000110010101
31022101221212010100000
430301212000012111
5211043014303344
610145041441513
7663630062100
oct146146000625
938357763300
1013716947349
1158a994a626
1227a9940299
1313a7a95bc1
14941a75737
15554370a69
hex331980195

13716947349 has 72 divisors (see below), whose sum is σ = 24043612320. Its totient is φ = 7791777504.

The previous prime is 13716947339. The next prime is 13716947351. The reversal of 13716947349 is 94374961731.

13716947349 is a `hidden beast` number, since 1 + 3 + 7 + 169 + 473 + 4 + 9 = 666.

It is not a de Polignac number, because 13716947349 - 24 = 13716947333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13716947295 and 13716947304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13716947339) 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 71 ways as a sum of consecutive naturals, for example, 2056582 + ... + 2063240.

It is an arithmetic number, because the mean of its divisors is an integer number (333939060).

Almost surely, 213716947349 is an apocalyptic number.

It is an amenable number.

13716947349 is a deficient number, since it is larger than the sum of its proper divisors (10326664971).

13716947349 is an equidigital number, since it uses as much as digits as its factorization.

13716947349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6861 (or 6842 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 13716947349 in words is "thirteen billion, seven hundred sixteen million, nine hundred forty-seven thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 173 189 243 441 519 567 1211 1323 1557 1701 3633 3969 4671 6659 8477 10899 11907 14013 19977 25431 32697 42039 46613 59931 76293 98091 139839 179793 228879 294273 326291 419517 539379 686637 978873 1152007 1258551 1618137 2059911 2936619 3456021 3775653 8064049 8809857 10368063 11326959 24192147 26429571 31104189 56448343 72576441 79288713 93312567 169345029 217729323 279937701 508035087 653187969 1524105261 1959563907 4572315783 13716947349