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9108681040 = 245617923627
BaseRepresentation
bin10000111101110101…
…10111000101010000
3212111210120221101001
420132322313011100
5122123310243130
64103502351344
7441502340254
oct103672670520
925453527331
109108681040
113954681978
12192258b554
13b221431c4
14625a26264
153849e86ca
hex21eeb7150

9108681040 has 80 divisors (see below), whose sum is σ = 21798247680. Its totient is φ = 3538229760.

The previous prime is 9108681019. The next prime is 9108681083. The reversal of 9108681040 is 401868019.

It is a happy number.

9108681040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373707 + ... + 397333.

It is an arithmetic number, because the mean of its divisors is an integer number (272478096).

Almost surely, 29108681040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9108681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10899123840).

9108681040 is an abundant number, since it is smaller than the sum of its proper divisors (12689566640).

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

9108681040 is a wasteful number, since it uses less digits than its factorization.

9108681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23780 (or 23774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 9108681040 is about 95439.4103083207. The cubic root of 9108681040 is about 2088.4231476535.

The spelling of 9108681040 in words is "nine billion, one hundred eight million, six hundred eighty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 79 80 122 158 244 305 316 395 488 610 632 790 976 1220 1264 1580 2440 3160 4819 4880 6320 9638 19276 23627 24095 38552 47254 48190 77104 94508 96380 118135 189016 192760 236270 378032 385520 472540 945080 1441247 1866533 1890160 2882494 3733066 5764988 7206235 7466132 9332665 11529976 14412470 14932264 18665330 23059952 28824940 29864528 37330660 57649880 74661320 113858513 115299760 149322640 227717026 455434052 569292565 910868104 1138585130 1821736208 2277170260 4554340520 9108681040