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9988317696 = 29371138221
BaseRepresentation
bin10010100110101100…
…11010001000000000
3221210002210010000110
421103112122020000
5130424002131241
64331044151320
7502343204520
oct112326321000
927702703013
109988317696
114266165a15
121b29098540
13c32459c76
146aa7a1680
153d6d51816
hex25359a200

9988317696 has 160 divisors (see below), whose sum is σ = 30683714688. Its totient is φ = 2828206080.

The previous prime is 9988317671. The next prime is 9988317791. The reversal of 9988317696 is 6967138899.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210866 + ... + 1219086.

Almost surely, 29988317696 is an apocalyptic number.

9988317696 is a gapful number since it is divisible by the number (96) 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 9988317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341857344).

9988317696 is an abundant number, since it is smaller than the sum of its proper divisors (20695396992).

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

9988317696 is a wasteful number, since it uses less digits than its factorization.

9988317696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8362 (or 8346 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 66.

The square root of 9988317696 is about 99941.5714104996. The cubic root of 9988317696 is about 2153.5954044208.

The spelling of 9988317696 in words is "nine billion, nine hundred eighty-eight million, three hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 256 336 339 384 448 452 512 672 678 768 791 896 904 1344 1356 1536 1582 1792 1808 2373 2688 2712 3164 3584 3616 4746 5376 5424 6328 7232 8221 9492 10752 10848 12656 14464 16442 18984 21696 24663 25312 28928 32884 37968 43392 49326 50624 57547 57856 65768 75936 86784 98652 101248 115094 131536 151872 172641 173568 197304 202496 230188 263072 303744 345282 394608 404992 460376 526144 607488 690564 789216 920752 928973 1052288 1214976 1381128 1578432 1841504 1857946 2104576 2762256 2786919 3156864 3683008 3715892 4209152 5524512 5573838 6313728 6502811 7366016 7431784 11049024 11147676 12627456 13005622 14732032 14863568 19508433 22098048 22295352 26011244 29464064 29727136 39016866 44196096 44590704 52022488 59454272 78033732 88392192 89181408 104044976 118908544 156067464 178362816 208089952 237817088 312134928 356725632 416179904 475634176 624269856 713451264 832359808 1248539712 1426902528 1664719616 2497079424 3329439232 4994158848 9988317696