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9740097328 = 2413231131887
BaseRepresentation
bin10010001001000111…
…00001011100110000
3221010210201012200111
421010203201130300
5124421431103303
64250300031104
7463240314133
oct110443413460
927123635614
109740097328
114149038315
121a79b32494
13bc2bbb600
1468582a21a
153c016eb6d
hex2448e1730

9740097328 has 120 divisors (see below), whose sum is σ = 21278923776. Its totient is φ = 4312339200.

The previous prime is 9740097287. The next prime is 9740097373. The reversal of 9740097328 is 8237900479.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10980501 + ... + 10981387.

Almost surely, 29740097328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9740097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639461888).

9740097328 is an abundant number, since it is smaller than the sum of its proper divisors (11538826448).

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

9740097328 is a wasteful number, since it uses less digits than its factorization.

9740097328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

The square root of 9740097328 is about 98691.9314229892. The cubic root of 9740097328 is about 2135.6058353788.

The spelling of 9740097328 in words is "nine billion, seven hundred forty million, ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 131 169 208 248 262 338 403 496 524 676 806 887 1048 1352 1612 1703 1774 2096 2704 3224 3406 3548 4061 5239 6448 6812 7096 8122 10478 11531 13624 14192 16244 20956 22139 23062 27248 27497 32488 41912 44278 46124 52793 54994 64976 83824 88556 92248 105586 109988 116197 149903 177112 184496 211172 219976 232394 299806 354224 357461 422344 439952 464788 599612 686309 714922 844688 929576 1199224 1372618 1429844 1510561 1859152 2398448 2745236 2859688 3021122 3602107 4646993 5490472 5719376 6042244 7204214 9293986 10980944 12084488 14408428 18587972 19637293 24168976 28816856 37175944 39274586 46827391 57633712 74351888 78549172 93654782 157098344 187309564 314196688 374619128 608756083 749238256 1217512166 2435024332 4870048664 9740097328