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9490804416 = 263231152981
BaseRepresentation
bin10001101011011001…
…00010111011000000
3220111102121211002200
420311230202323000
5123414121220131
64205432513200
7454122335502
oct106554427300
926442554080
109490804416
114030347915
121a0a54b800
13b83365a02
14660695d72
153a832a2e6
hex235b22ec0

9490804416 has 84 divisors (see below), whose sum is σ = 27291663984. Its totient is φ = 3153369600.

The previous prime is 9490804391. The next prime is 9490804429. The reversal of 9490804416 is 6144080949.

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, 152646 + ... + 205626.

Almost surely, 29490804416 is an apocalyptic number.

9490804416 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 9490804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645831992).

9490804416 is an abundant number, since it is smaller than the sum of its proper divisors (17800859568).

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

9490804416 is a wasteful number, since it uses less digits than its factorization.

9490804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53310 (or 53297 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9490804416 is about 97420.7596767753. The cubic root of 9490804416 is about 2117.2282229008.

The spelling of 9490804416 in words is "nine billion, four hundred ninety million, eight hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 311 576 622 933 1244 1866 2488 2799 3732 4976 5598 7464 9952 11196 14928 19904 22392 29856 44784 52981 59712 89568 105962 158943 179136 211924 317886 423848 476829 635772 847696 953658 1271544 1695392 1907316 2543088 3390784 3814632 5086176 7629264 10172352 15258528 16477091 30517056 32954182 49431273 65908364 98862546 131816728 148293819 197725092 263633456 296587638 395450184 527266912 593175276 790900368 1054533824 1186350552 1581800736 2372701104 3163601472 4745402208 9490804416