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9666144913657 = 2331307156728181
BaseRepresentation
bin1000110010101001001100…
…1000100100100011111001
31021020002000020222122102111
42030222103020210203321
52231332231044214112
632320322103532321
72015233040053201
oct214522310444371
937202006878374
109666144913657
113097430898321
12110144445a0a1
1355168a380b5b
14255bb5991401
1511b68a4ac5a7
hex8ca932248f9

9666144913657 has 32 divisors (see below), whose sum is σ = 10452731756544. Its totient is φ = 8912470564800.

The previous prime is 9666144913631. The next prime is 9666144913699. The reversal of 9666144913657 is 7563194416669.

It is a cyclic number.

It is not a de Polignac number, because 9666144913657 - 235 = 9631785175289 is a prime.

It is a super-2 number, since 2×96661449136572 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9666144913592 and 9666144913601.

It is not an unprimeable number, because it can be changed into a prime (9666144913457) 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 31 ways as a sum of consecutive naturals, for example, 342988107 + ... + 343016287.

It is an arithmetic number, because the mean of its divisors is an integer number (326647867392).

Almost surely, 29666144913657 is an apocalyptic number.

It is an amenable number.

9666144913657 is a deficient number, since it is larger than the sum of its proper divisors (786586842887).

9666144913657 is a wasteful number, since it uses less digits than its factorization.

9666144913657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30109.

The product of its digits is 176359680, while the sum is 67.

The spelling of 9666144913657 in words is "nine trillion, six hundred sixty-six billion, one hundred forty-four million, nine hundred thirteen thousand, six hundred fifty-seven".

Divisors: 1 23 31 307 713 1567 7061 9517 28181 36041 48577 218891 481069 648163 873611 1117271 8651567 11064587 14913139 20093053 44159627 198986041 268198577 343002197 1015671421 1368948437 6168567271 13557005489 31485814051 311811126247 420267170159 9666144913657