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16657424224331 = 1123127792917257
BaseRepresentation
bin1111001001100101101111…
…0110101001000001001011
32011222102201112102201000012
43302121123312221001023
54140403401100134311
655232152014502135
73336313333512242
oct362313366510113
964872645381005
1016657424224331
115342412797700
121a503a180494b
1393aa33061b87
1441831b91b959
151dd4702a378b
hexf265bda904b

16657424224331 has 48 divisors (see below), whose sum is σ = 18989775409920. Its totient is φ = 14585157734400.

The previous prime is 16657424224313. The next prime is 16657424224349. The reversal of 16657424224331 is 13342242475661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16657424224313) and next prime (16657424224349).

It is not a de Polignac number, because 16657424224331 - 26 = 16657424224267 is a prime.

It is a super-2 number, since 2×166574242243312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16657424224331.

It is not an unprimeable number, because it can be changed into a prime (16657424220331) 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 47 ways as a sum of consecutive naturals, for example, 965247455 + ... + 965264711.

It is an arithmetic number, because the mean of its divisors is an integer number (395620321040).

Almost surely, 216657424224331 is an apocalyptic number.

16657424224331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16657424224331 is a deficient number, since it is larger than the sum of its proper divisors (2332351185589).

16657424224331 is a wasteful number, since it uses less digits than its factorization.

16657424224331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18516 (or 18505 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 50.

Adding to 16657424224331 its reverse (13342242475661), we get a palindrome (29999666699992).

The spelling of 16657424224331 in words is "sixteen trillion, six hundred fifty-seven billion, four hundred twenty-four million, two hundred twenty-four thousand, three hundred thirty-one".

Divisors: 1 11 31 121 277 341 929 3047 3751 8587 10219 17257 28799 33517 94457 112409 189827 257333 316789 534967 1039027 2088097 2830663 3484679 4780189 5884637 7977323 16031753 31137293 52582079 64731007 87750553 148185859 176349283 496984343 578402869 965256083 1630044449 1939842113 4440795581 5466827773 17930488939 48848751391 60135105503 137664663011 537336265301 1514311293121 16657424224331