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13727304376821 = 347101316775689
BaseRepresentation
bin1100011111000010001100…
…0110011110000111110101
31210121022120102222222120000
43013300203012132013311
53244402004410024241
645110123033301513
72614523253660150
oct307604306360765
953538512888500
1013727304376821
1144127984a5872
12165853a564899
1378762cba6c39
14356595760c97
1518c12a899eb6
hexc7c2319e1f5

13727304376821 has 80 divisors (see below), whose sum is σ = 23675502597120. Its totient is φ = 7763953939200.

The previous prime is 13727304376811. The next prime is 13727304376829. The reversal of 13727304376821 is 12867340372731.

13727304376821 is a `hidden beast` number, since 13 + 72 + 73 + 0 + 437 + 68 + 2 + 1 = 666.

It is not a de Polignac number, because 13727304376821 - 27 = 13727304376693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727304376829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 181326745 + ... + 181402433.

It is an arithmetic number, because the mean of its divisors is an integer number (295943782464).

Almost surely, 213727304376821 is an apocalyptic number.

It is an amenable number.

13727304376821 is a deficient number, since it is larger than the sum of its proper divisors (9948198220299).

13727304376821 is a wasteful number, since it uses less digits than its factorization.

13727304376821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78976 (or 78967 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 13727304376821 in words is "thirteen trillion, seven hundred twenty-seven billion, three hundred four million, three hundred seventy-six thousand, eight hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 101 189 303 567 707 909 2121 2727 3167 6363 8181 9501 19089 22169 28503 57267 66507 75689 85509 199521 227067 256527 319867 529823 598563 681201 959601 1589469 1795689 2043603 2239069 2878803 4768407 6130809 6717207 7644589 8636409 14305221 20151621 22933767 25909227 42915663 53512123 60454863 68801301 160536369 181364589 206403903 239707063 481609107 619211709 719121189 1444827321 1677949441 2157363567 4334481963 5033848323 6472090701 15101544969 19416272103 24210413363 45304634907 72631240089 135913904721 169472893541 217893720267 508418680623 653681160801 1525256041869 1961043482403 4575768125607 13727304376821