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16489988998461 = 32114167271223747
BaseRepresentation
bin1110111111110101111111…
…1011111100010100111101
32011101102112200111221120100
43233331133323330110331
54130132444140422321
655023221340511313
73321235204542546
oct357753773742475
964342480457510
1016489988998461
115288401995280
121a23a53b4b539
13927ccb596224
144101967574cd
151d8e20bcb326
hexeff5fefc53d

16489988998461 has 96 divisors (see below), whose sum is σ = 27115078588416. Its totient is φ = 9569168928000.

The previous prime is 16489988998397. The next prime is 16489988998471.

16489988998461 is a `hidden beast` number, since 1 + 6 + 489 + 9 + 8 + 89 + 9 + 8 + 46 + 1 = 666.

16489988998461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16489988998461 - 26 = 16489988998397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16489988998471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73587390 + ... + 73811136.

It is an arithmetic number, because the mean of its divisors is an integer number (282448735296).

Almost surely, 216489988998461 is an apocalyptic number.

16489988998461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16489988998461 is a deficient number, since it is larger than the sum of its proper divisors (10625089589955).

16489988998461 is a wasteful number, since it uses less digits than its factorization.

16489988998461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224143 (or 224140 counting only the distinct ones).

The product of its digits is 15479341056, while the sum is 90.

The spelling of 16489988998461 in words is "sixteen trillion, four hundred eighty-nine billion, nine hundred eighty-eight million, nine hundred ninety-eight thousand, four hundred sixty-one".

Divisors: 1 3 9 11 33 41 67 99 123 201 271 369 451 603 737 813 1353 2211 2439 2747 2981 4059 6633 8241 8943 11111 18157 24723 26829 30217 33333 54471 90651 99999 122221 163413 199727 223747 271953 366663 599181 671241 744437 1099989 1797543 2013723 2233311 2461217 6699933 7383651 8188807 9173627 14991049 22150953 24566421 27520881 44973147 60635437 73699263 82562643 100909897 134919441 164901539 181906311 302729691 494704617 545718933 614633009 666989807 908189073 1484113851 1843899027 2000969421 2486052917 4062574279 5531697081 6002908263 6760963099 7458158751 12187722837 20282889297 22374476253 27346582087 36563168511 44688317069 60848667891 82039746261 134064951207 166565545439 246119238783 402194853621 499696636317 1499089908951 1832220999829 5496662999487 16489988998461