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331018389252 = 22321719121113421
BaseRepresentation
bin1001101000100100011…
…10111100011100000100
31011122102020111110112200
410310102032330130010
520410411201424002
6412022344514500
732625641612145
oct4642216743404
91148366443480
10331018389252
11118425284241
12541a147ba30
13252a419c0a5
1412042923acc
1589258ecb1c
hex4d123bc704

331018389252 has 144 divisors (see below), whose sum is σ = 894887046144. Its totient is φ = 102807936000.

The previous prime is 331018389227. The next prime is 331018389271. The reversal of 331018389252 is 252983810133.

331018389252 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 18 + 389 + 252 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331018389198 and 331018389207.

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 47 ways as a sum of consecutive naturals, for example, 24657502 + ... + 24670922.

It is an arithmetic number, because the mean of its divisors is an integer number (6214493376).

Almost surely, 2331018389252 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 331018389252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447443523072).

331018389252 is an abundant number, since it is smaller than the sum of its proper divisors (563868656892).

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

331018389252 is a wasteful number, since it uses less digits than its factorization.

331018389252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13845 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 331018389252 in words is "three hundred thirty-one billion, eighteen million, three hundred eighty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 191 204 211 306 382 422 573 612 633 764 844 1146 1266 1719 1899 2292 2532 3247 3438 3587 3798 6494 6876 7174 7596 9741 10761 12988 13421 14348 19482 21522 26842 29223 32283 38964 40263 40301 43044 53684 58446 64566 80526 80602 116892 120789 120903 129132 161052 161204 228157 241578 241806 362709 456314 483156 483612 684471 685117 725418 912628 1368942 1370234 1450836 2053413 2055351 2563411 2737884 2740468 2831831 4106826 4110702 5126822 5663662 6166053 7690233 8213652 8221404 8495493 10253644 11327324 12332106 15380466 16990986 23070699 24664212 25486479 30760932 33981972 43577987 46141398 48141127 50972958 87155974 92282796 96282254 101945916 130733961 144423381 174311948 192564508 261467922 288846762 392201883 433270143 522935844 540879721 577693524 784403766 866540286 1081759442 1568807532 1622639163 1733080572 2163518884 3245278326 4867917489 6490556652 9194955257 9735834978 18389910514 19471669956 27584865771 36779821028 55169731542 82754597313 110339463084 165509194626 331018389252