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9717040004 = 2274710967741
BaseRepresentation
bin10010000110010111…
…00100001110000100
3221002012022202222112
421003023210032010
5124400030240004
64244113520152
7462540322460
oct110313441604
927065282875
109717040004
114137019a81
121a72273058
13bbb1a7719
146827474a0
153bd117e6e
hex2432e4384

9717040004 has 48 divisors (see below), whose sum is σ = 20029954560. Its totient is φ = 4038387840.

The previous prime is 9717039989. The next prime is 9717040007. The reversal of 9717040004 is 4000407179.

It is not an unprimeable number, because it can be changed into a prime (9717040007) 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, 109574 + ... + 177314.

It is an arithmetic number, because the mean of its divisors is an integer number (417290720).

Almost surely, 29717040004 is an apocalyptic number.

9717040004 is a gapful number since it is divisible by the number (94) 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 9717040004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10014977280).

9717040004 is an abundant number, since it is smaller than the sum of its proper divisors (10312914556).

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

9717040004 is a wasteful number, since it uses less digits than its factorization.

9717040004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67908 (or 67906 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 9717040004 is about 98575.0475729025. The cubic root of 9717040004 is about 2133.9193271620.

The spelling of 9717040004 in words is "nine billion, seven hundred seventeen million, forty thousand, four".

Divisors: 1 2 4 7 14 28 47 94 109 188 218 329 436 658 763 1316 1526 3052 5123 10246 20492 35861 67741 71722 135482 143444 270964 474187 948374 1896748 3183827 6367654 7383769 12735308 14767538 22286789 29535076 44573578 51686383 89147156 103372766 206745532 347037143 694074286 1388148572 2429260001 4858520002 9717040004