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9664102919349 = 3288110211193761
BaseRepresentation
bin1000110010100001100101…
…1010111110110010110101
31021012212201221121120211200
42030220121122332302311
52231314040321404344
632315343320523113
72015131323306054
oct214503132766265
937185657546750
109664102919349
11309658317881a
121100b74620499
135514232c22b8
14255a606c439b
1511b5bb0a2069
hex8ca196becb5

9664102919349 has 24 divisors (see below), whose sum is σ = 13988803944024. Its totient is φ = 6429113856000.

The previous prime is 9664102919329. The next prime is 9664102919363. The reversal of 9664102919349 is 9439192014669.

9664102919349 is a `hidden beast` number, since 9 + 6 + 6 + 410 + 2 + 91 + 93 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1641652812900 + 8022450106449 = 1281270^2 + 2832393^2 .

It is not a de Polignac number, because 9664102919349 - 213 = 9664102911157 is a prime.

It is a super-3 number, since 3×96641029193493 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9664102919329) 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 23 ways as a sum of consecutive naturals, for example, 7498629 + ... + 8692389.

It is an arithmetic number, because the mean of its divisors is an integer number (582866831001).

Almost surely, 29664102919349 is an apocalyptic number.

It is an amenable number.

9664102919349 is a deficient number, since it is larger than the sum of its proper divisors (4324701024675).

9664102919349 is a wasteful number, since it uses less digits than its factorization.

9664102919349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195669 (or 1195666 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 9664102919349 in words is "nine trillion, six hundred sixty-four billion, one hundred two million, nine hundred nineteen thousand, three hundred forty-nine".

Divisors: 1 3 9 881 1021 2643 3063 7929 9189 899501 1193761 2698503 3581283 8095509 10743849 1051703441 1218829981 3155110323 3656489943 9465330969 10969469829 1073789213261 3221367639783 9664102919349