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16669488496661 = 731131310127809
BaseRepresentation
bin1111001010010010101011…
…1100001100000000010101
32012000120212022111020102022
43302210222330030000111
54141103103023343121
655241505102022525
73340221315236000
oct362445274140025
965016768436368
1016669488496661
115347543758000
121a527a9b77a45
1393bc0660b160
14418b43caa537
151dd9294bcaab
hexf292af0c015

16669488496661 has 128 divisors (see below), whose sum is σ = 23255745408000. Its totient is φ = 11870901504000.

The previous prime is 16669488496643. The next prime is 16669488496679.

16669488496661 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (16669488496643) and next prime (16669488496679).

It is not a de Polignac number, because 16669488496661 - 238 = 16394610589717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16669488496631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 599413925 + ... + 599441733.

It is an arithmetic number, because the mean of its divisors is an integer number (181685511000).

Almost surely, 216669488496661 is an apocalyptic number.

16669488496661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16669488496661 is a deficient number, since it is larger than the sum of its proper divisors (6586256911339).

16669488496661 is a wasteful number, since it uses less digits than its factorization.

16669488496661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27941 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 80.

The spelling of 16669488496661 in words is "sixteen trillion, six hundred sixty-nine billion, four hundred eighty-eight million, four hundred ninety-six thousand, six hundred sixty-one".

Divisors: 1 7 11 13 49 77 91 101 121 143 343 539 637 707 847 1001 1111 1313 1331 1573 3773 4459 4949 5929 7007 7777 9191 9317 11011 12221 14443 17303 27809 34643 41503 49049 54439 64337 65219 77077 85547 101101 121121 134431 158873 194663 305899 361517 381073 450359 456533 539539 598829 707707 847847 941017 1112111 1362641 1747603 2141293 2530619 2808709 3364889 3976687 4191803 4953949 5934929 6587119 7784777 9538487 12233221 14989051 17714333 19660963 23554223 27836809 30895799 36513217 37013779 43743557 46109833 54493439 85632547 104923357 124000331 137626741 164879561 194857663 216270593 255592519 259096453 306204899 339853789 401645387 481179127 599427829 963387187 1154156927 1364003641 1513894151 1789147633 1813675171 2143434293 2378976523 2811517709 3368253889 3738391679 4418099257 10597259057 12524033431 12695726197 15004040051 16652835661 19680623963 23577777223 26168741753 30926694799 48599091827 116569849627 137764367741 165044440561 183181192271 216486863593 340193642789 1282268345897 1515408045151 2381355499523 16669488496661