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18083444832 = 253322991397
BaseRepresentation
bin10000110101110110…
…110111100001100000
31201200021012011211000
4100311312313201200
5244013330213312
612150222552000
71210060513335
oct206566674140
951607164730
1018083444832
11773a6a6832
123608138600
1319225c891b
14c3794c98c
1570c88cadc
hex435db7860

18083444832 has 96 divisors (see below), whose sum is σ = 52974280800. Its totient is φ = 6001426944.

The previous prime is 18083444791. The next prime is 18083444851. The reversal of 18083444832 is 23844438081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 152158 + ... + 243554.

It is an arithmetic number, because the mean of its divisors is an integer number (551815425).

Almost surely, 218083444832 is an apocalyptic number.

18083444832 is a gapful number since it is divisible by the number (12) 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 18083444832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26487140400).

18083444832 is an abundant number, since it is smaller than the sum of its proper divisors (34890835968).

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

18083444832 is a wasteful number, since it uses less digits than its factorization.

18083444832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91645 (or 91631 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 18083444832 in words is "eighteen billion, eighty-three million, four hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2748 3664 4122 5496 6183 7328 8244 10992 12366 16488 21984 24732 32976 49464 65952 91397 98928 182794 197856 274191 365588 548382 731176 822573 1096764 1462352 1645146 2193528 2467719 2924704 3290292 4387056 4935438 6580584 8774112 9870876 13161168 19741752 20929913 26322336 39483504 41859826 62789739 78967008 83719652 125579478 167439304 188369217 251158956 334878608 376738434 502317912 565107651 669757216 753476868 1004635824 1130215302 1506953736 2009271648 2260430604 3013907472 4520861208 6027814944 9041722416 18083444832