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9696332128 = 257438911311
BaseRepresentation
bin10010000011111001…
…00100100101100000
3221000202100201010011
421001330210211200
5124324230112003
64242054014304
7462166314610
oct110174444540
927022321104
109696332128
11412636592a
121a67347394
13bb6b07042
1467dab6a40
153bb3c746d
hex241f24960

9696332128 has 96 divisors (see below), whose sum is σ = 22576942080. Its totient is φ = 4012968960.

The previous prime is 9696332101. The next prime is 9696332131. The reversal of 9696332128 is 8212336969.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 851593 + ... + 862903.

It is an arithmetic number, because the mean of its divisors is an integer number (235176480).

Almost surely, 29696332128 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 9696332128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11288471040).

9696332128 is an abundant number, since it is smaller than the sum of its proper divisors (12880609952).

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

9696332128 is a wasteful number, since it uses less digits than its factorization.

9696332128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11460 (or 11452 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 9696332128 is about 98469.9554585052. The cubic root of 9696332128 is about 2132.4023918194.

The spelling of 9696332128 in words is "nine billion, six hundred ninety-six million, three hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 89 112 172 178 224 301 344 356 602 623 688 712 1204 1246 1376 1424 2408 2492 2848 3827 4816 4984 7654 9632 9968 11311 15308 19936 22622 26789 30616 45244 53578 61232 79177 90488 107156 122464 158354 180976 214312 316708 361952 428624 486373 633416 857248 972746 1006679 1266832 1945492 2013358 2533664 3404611 3890984 4026716 6809222 7046753 7781968 8053432 13618444 14093506 15563936 16106864 27236888 28187012 32213728 43287197 54473776 56374024 86574394 108947552 112748048 173148788 225496096 303010379 346297576 606020758 692595152 1212041516 1385190304 2424083032 4848166064 9696332128