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9349481856 = 2731113170263
BaseRepresentation
bin10001011010100010…
…11100010110000000
3220010120200212222210
420231101130112000
5123121431404411
64143423502120
7450455166411
oct105521342600
926116625883
109349481856
113a685a2110
12198b157940
13b5ccb46b0
146499c9808
1539ac11ca6
hex22d45c580

9349481856 has 128 divisors (see below), whose sum is σ = 29176439040. Its totient is φ = 2615224320.

The previous prime is 9349481851. The next prime is 9349481881. The reversal of 9349481856 is 6581849439.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 9349481796 and 9349481805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9349481851) by changing a digit.

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, 30220 + ... + 140043.

It is an arithmetic number, because the mean of its divisors is an integer number (227940930).

Almost surely, 29349481856 is an apocalyptic number.

9349481856 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 9349481856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14588219520).

9349481856 is an abundant number, since it is smaller than the sum of its proper divisors (19826957184).

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

9349481856 is a wasteful number, since it uses less digits than its factorization.

9349481856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170304 (or 170292 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 57.

The square root of 9349481856 is about 96692.7187331083. The cubic root of 9349481856 is about 2106.6667838131. Note that the first 3 decimals are identical.

The spelling of 9349481856 in words is "nine billion, three hundred forty-nine million, four hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 170263 340526 510789 681052 1021578 1362104 1872893 2043156 2213419 2724208 3745786 4086312 4426838 5448416 5618679 6640257 7491572 8172624 8853676 10896832 11237358 13280514 14983144 16345248 17707352 21793664 22474716 24347609 26561028 29966288 32690496 35414704 44949432 48695218 53122056 59932576 65380992 70829408 73042827 89898864 97390436 106244112 119865152 141658816 146085654 179797728 194780872 212488224 239730304 283317632 292171308 359595456 389561744 424976448 584342616 719190912 779123488 849952896 1168685232 1558246976 2337370464 3116493952 4674740928 9349481856