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9809317764 = 22321729712
BaseRepresentation
bin10010010001010111…
…00100111110000100
3221022121221222021100
421020223210332010
5130042141132024
64301211420100
7465040553031
oct111053447604
927277858240
109809317764
114184116694
121a99154630
13c0434634c
14690ac8388
153c62947c9
hex248ae4f84

9809317764 has 81 divisors (see below), whose sum is σ = 26367303781. Its totient is φ = 3074263680.

The previous prime is 9809317759. The next prime is 9809317801. The reversal of 9809317764 is 4677139089.

It is a happy number.

The square root of 9809317764 is 99042.

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

It can be written as a sum of positive squares in only one way, i.e., 7637012100 + 2172305664 = 87390^2 + 46608^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9809317764.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10101799 + ... + 10102769.

Almost surely, 29809317764 is an apocalyptic number.

9809317764 is the 99042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9809317764

9809317764 is an abundant number, since it is smaller than the sum of its proper divisors (16557986017).

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

9809317764 is a wasteful number, since it uses less digits than its factorization.

9809317764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The cubic root of 9809317764 is about 2140.6529701594.

The spelling of 9809317764 in words is "nine billion, eight hundred nine million, three hundred seventeen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 971 1156 1734 1942 2601 2913 3468 3884 5202 5826 8739 10404 11652 16507 17478 33014 34956 49521 66028 99042 148563 198084 280619 297126 561238 594252 841857 942841 1122476 1683714 1885682 2525571 2828523 3367428 3771364 5051142 5657046 8485569 10102284 11314092 16028297 16971138 32056594 33942276 48084891 64113188 96169782 144254673 192339564 272481049 288509346 544962098 577018692 817443147 1089924196 1634886294 2452329441 3269772588 4904658882 9809317764