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9090991008 = 2532114169991
BaseRepresentation
bin10000111011101110…
…11000001110100000
3212110120022012012200
420131313120032200
5122104243203013
64102031253200
7441166101651
oct103567301640
925416265180
109090991008
11394569a110
12191867a200
13b1b58b328
1462353d528
153831a1e73
hex21ddd83a0

9090991008 has 144 divisors (see below), whose sum is σ = 28891017792. Its totient is φ = 2687616000.

The previous prime is 9090991003. The next prime is 9090991061. The reversal of 9090991008 is 8001990909.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×90909910083 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (9090991003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94893 + ... + 164883.

It is an arithmetic number, because the mean of its divisors is an integer number (200632068).

Almost surely, 29090991008 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 9090991008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14445508896).

9090991008 is an abundant number, since it is smaller than the sum of its proper divisors (19800026784).

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

9090991008 is a wasteful number, since it uses less digits than its factorization.

9090991008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70059 (or 70048 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The square root of 9090991008 is about 95346.6885004403. The cubic root of 9090991008 is about 2087.0702911656.

The spelling of 9090991008 in words is "nine billion, ninety million, nine hundred ninety-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 41 44 48 66 72 82 88 96 99 123 132 144 164 176 198 246 264 288 328 352 369 396 451 492 528 656 738 792 902 984 1056 1312 1353 1476 1584 1804 1968 2706 2952 3168 3608 3936 4059 5412 5904 7216 8118 10824 11808 14432 16236 21648 32472 43296 64944 69991 129888 139982 209973 279964 419946 559928 629919 769901 839892 1119856 1259838 1539802 1679784 2239712 2309703 2519676 2869631 3079604 3359568 4619406 5039352 5739262 6159208 6719136 6929109 8608893 9238812 10078704 11478524 12318416 13858218 17217786 18477624 20157408 22957048 24636832 25826679 27716436 31565941 34435572 36955248 45914096 51653358 55432872 63131882 68871144 73910496 91828192 94697823 103306716 110865744 126263764 137742288 189395646 206613432 221731488 252527528 275484576 284093469 378791292 413226864 505055056 568186938 757582584 826453728 1010110112 1136373876 1515165168 2272747752 3030330336 4545495504 9090991008