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9030793688 = 237289313827
BaseRepresentation
bin10000110100100011…
…01111100111011000
3212022101000212000022
420122101233213120
5121443340344223
64052041130012
7436535323400
oct103221574730
925271025008
109030793688
113914713a64
121900489908
13b0bc72607
1461954d800
1537cc60ac8
hex21a46f9d8

9030793688 has 96 divisors (see below), whose sum is σ = 20006384400. Its totient is φ = 3810014208.

The previous prime is 9030793657. The next prime is 9030793757. The reversal of 9030793688 is 8863970309.

9030793688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 10919531 + ... + 10920357.

Almost surely, 29030793688 is an apocalyptic number.

9030793688 is a gapful number since it is divisible by the number (98) 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 9030793688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10003192200).

9030793688 is an abundant number, since it is smaller than the sum of its proper divisors (10975590712).

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

9030793688 is a wasteful number, since it uses less digits than its factorization.

9030793688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The square root of 9030793688 is about 95030.4882024711. The cubic root of 9030793688 is about 2082.4534725852.

The spelling of 9030793688 in words is "nine billion, thirty million, seven hundred ninety-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 313 356 392 623 626 712 827 1246 1252 1654 2191 2492 2504 3308 4361 4382 4984 5789 6616 8722 8764 11578 15337 17444 17528 23156 27857 30674 34888 40523 46312 55714 61348 73603 81046 111428 122696 147206 162092 194999 222856 258851 294412 324184 389998 515221 517702 588824 779996 1030442 1035404 1364993 1559992 1811957 2060884 2070808 2729986 3606547 3623914 4121768 5459972 7213094 7247828 10919944 12683699 14426188 14495656 23037739 25367398 28852376 46075478 50734796 92150956 101469592 161264173 184301912 322528346 645056692 1128849211 1290113384 2257698422 4515396844 9030793688