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9704369466 = 232111011273821
BaseRepresentation
bin10010000100110110…
…01110110100111010
3221001022111001021100
421002123032310322
5124333304310331
64242542152230
7462324531231
oct110233166472
927038431240
109704369466
11412a955460
121a69b82676
13bb868c46c
14680ba9b18
153bbe63ae6
hex2426ced3a

9704369466 has 96 divisors (see below), whose sum is σ = 23353214976. Its totient is φ = 2887920000.

The previous prime is 9704369459. The next prime is 9704369489. The reversal of 9704369466 is 6649634079.

9704369466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2537836 + ... + 2541656.

It is an arithmetic number, because the mean of its divisors is an integer number (243262656).

Almost surely, 29704369466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9704369466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11676607488).

9704369466 is an abundant number, since it is smaller than the sum of its proper divisors (13648845510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9704369466 is a wasteful number, since it uses less digits than its factorization.

9704369466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 9704369466 is about 98510.7581231614. The cubic root of 9704369466 is about 2132.9914154226.

The spelling of 9704369466 in words is "nine billion, seven hundred four million, three hundred sixty-nine thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 101 127 198 202 254 303 381 606 762 909 1111 1143 1397 1818 2222 2286 2794 3333 3821 4191 6666 7642 8382 9999 11463 12573 12827 19998 22926 25146 25654 34389 38481 42031 68778 76962 84062 115443 126093 141097 230886 252186 282194 378279 385921 423291 485267 756558 771842 846582 970534 1157763 1269873 1455801 2315526 2539746 2911602 3473289 4245131 4367403 5337937 6946578 8490262 8734806 10675874 12735393 16013811 25470786 32027622 38206179 48041433 49011967 76412358 96082866 98023934 147035901 294071802 441107703 539131637 882215406 1078263274 1617394911 3234789822 4852184733 9704369466