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9030108096 = 26342816199
BaseRepresentation
bin10000110100011110…
…01000001111000000
3212022022202000120000
420122033020033000
5121443201424341
64052014320000
7436526436522
oct103217101700
925268660500
109030108096
113914295959
1219001b9000
13b0ba92539
14619411a12
1537cb778b6
hex21a3c83c0

9030108096 has 140 divisors (see below), whose sum is σ = 26867662800. Its totient is φ = 2998840320.

The previous prime is 9030108077. The next prime is 9030108133. The reversal of 9030108096 is 6908010309.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9030108096.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1453605 + ... + 1459803.

Almost surely, 29030108096 is an apocalyptic number.

9030108096 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 9030108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433831400).

9030108096 is an abundant number, since it is smaller than the sum of its proper divisors (17837554704).

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

9030108096 is a wasteful number, since it uses less digits than its factorization.

9030108096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 9030108096 is about 95026.8809127186. The cubic root of 9030108096 is about 2082.4007732832.

The spelling of 9030108096 in words is "nine billion, thirty million, one hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 281 288 324 432 562 576 648 843 864 1124 1296 1686 1728 2248 2529 2592 3372 4496 5058 5184 6199 6744 7587 8992 10116 12398 13488 15174 17984 18597 20232 22761 24796 26976 30348 37194 40464 45522 49592 53952 55791 60696 74388 80928 91044 99184 111582 121392 148776 161856 167373 182088 198368 223164 242784 297552 334746 364176 396736 446328 485568 502119 595104 669492 728352 892656 1004238 1190208 1338984 1456704 1741919 1785312 2008476 2677968 3483838 3570624 4016952 5225757 5355936 6967676 8033904 10451514 10711872 13935352 15677271 16067808 20903028 27870704 31354542 32135616 41806056 47031813 55741408 62709084 83612112 94063626 111482816 125418168 141095439 167224224 188127252 250836336 282190878 334448448 376254504 501672672 564381756 752509008 1003345344 1128763512 1505018016 2257527024 3010036032 4515054048 9030108096