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9696913408 = 21172137433
BaseRepresentation
bin10010000011111101…
…10010100000000000
3221000210110020111001
421001332302200000
5124324402212113
64242114301344
7462204255400
oct110176624000
927023406431
109696913408
114126722626
121a67587854
13bb6c7b7b0
1467dbc8800
153bb48e7dd
hex241fb2800

9696913408 has 144 divisors (see below), whose sum is σ = 24292899540. Its totient is φ = 3835625472.

The previous prime is 9696913393. The next prime is 9696913427. The reversal of 9696913408 is 8043196969.

It can be written as a sum of positive squares in 2 ways, for example, as 7749633024 + 1947280384 = 88032^2 + 44128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1300860 + ... + 1308292.

Almost surely, 29696913408 is an apocalyptic number.

9696913408 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696913408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146449770).

9696913408 is an abundant number, since it is smaller than the sum of its proper divisors (14595986132).

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

9696913408 is a wasteful number, since it uses less digits than its factorization.

9696913408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The square root of 9696913408 is about 98472.9069744567. The cubic root of 9696913408 is about 2132.4450023680.

The spelling of 9696913408 in words is "nine billion, six hundred ninety-six million, nine hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 256 364 392 416 448 512 637 728 784 832 896 1024 1274 1456 1568 1664 1792 2048 2548 2912 3136 3328 3584 5096 5824 6272 6656 7168 7433 10192 11648 12544 13312 14336 14866 20384 23296 25088 26624 29732 40768 46592 50176 52031 59464 81536 93184 96629 100352 104062 118928 163072 186368 193258 208124 237856 326144 364217 386516 416248 475712 652288 676403 728434 773032 832496 951424 1304576 1352806 1456868 1546064 1664992 1902848 2705612 2913736 3092128 3329984 3805696 4734821 5411224 5827472 6184256 6659968 7611392 9469642 10822448 11654944 12368512 13319936 15222784 18939284 21644896 23309888 24737024 26639872 37878568 43289792 46619776 49474048 53279744 75757136 86579584 93239552 98948096 106559488 151514272 173159168 186479104 197896192 303028544 346318336 372958208 606057088 692636672 745916416 1212114176 1385273344 2424228352 4848456704 9696913408