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9676448268601 = 192101216212
BaseRepresentation
bin1000110011001111100101…
…0000110000000100111001
31021021001121022120022022011
42030303321100300010321
52232014331224043401
632325144324325521
72016046260116662
oct214637120600471
937231538508264
109676448268601
1130a08388683a4
12110343ab438a1
1355263cb7219a
142564b211c369
1511ba8ecdd451
hex8ccf9430139

9676448268601 has 27 divisors (see below), whose sum is σ = 10321022038509. Its totient is φ = 9070798284000.

The previous prime is 9676448268587. The next prime is 9676448268629. The reversal of 9676448268601 is 1068628446769.

The square root of 9676448268601 is 3110699.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5647757003001 + 4028691265600 = 2376501^2 + 2007160^2 .

It is not a de Polignac number, because 9676448268601 - 221 = 9676446171449 is a prime.

It is a super-2 number, since 2×96764482686012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9676448268631) 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 26 ways as a sum of consecutive naturals, for example, 5969430571 + ... + 5969432191.

Almost surely, 29676448268601 is an apocalyptic number.

9676448268601 is the 3110699-th square number.

9676448268601 is the 1555350-th centered octagonal number.

It is an amenable number.

9676448268601 is a deficient number, since it is larger than the sum of its proper divisors (644573769908).

9676448268601 is an frugal number, since it uses more digits than its factorization.

9676448268601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 67.

The spelling of 9676448268601 in words is "nine trillion, six hundred seventy-six billion, four hundred forty-eight million, two hundred sixty-eight thousand, six hundred one".

Divisors: 1 19 101 361 1621 1919 10201 30799 36461 163721 193819 585181 2627641 3110699 3682561 16535821 49925179 59103281 265391741 314180599 948578401 5042443079 5969431381 26804565841 95806418501 509286750979 9676448268601