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18582445968 = 24319163125003
BaseRepresentation
bin10001010011100110…
…011001111110010000
31202222001011001200120
4101103212121332100
5301024101232333
612311530150240
71225330120212
oct212346317620
952861131616
1018582445968
117976340769
123727282380
1319a1ac1178
14c83d245b2
1573b5a9db3
hex453999f90

18582445968 has 80 divisors (see below), whose sum is σ = 50841626880. Its totient is φ = 5832093312.

The previous prime is 18582445951. The next prime is 18582445993. The reversal of 18582445968 is 86954428581.

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, 86155 + ... + 211157.

It is an arithmetic number, because the mean of its divisors is an integer number (635520336).

Almost surely, 218582445968 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 18582445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25420813440).

18582445968 is an abundant number, since it is smaller than the sum of its proper divisors (32259180912).

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

18582445968 is a wasteful number, since it uses less digits than its factorization.

18582445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125196 (or 125190 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 60.

The spelling of 18582445968 in words is "eighteen billion, five hundred eighty-two million, four hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 163 228 304 326 456 489 652 912 978 1304 1956 2608 3097 3912 6194 7824 9291 12388 18582 24776 37164 49552 74328 125003 148656 250006 375009 500012 750018 1000024 1500036 2000048 2375057 3000072 4750114 6000144 7125171 9500228 14250342 19000456 20375489 28500684 38000912 40750978 57001368 61126467 81501956 114002736 122252934 163003912 244505868 326007824 387134291 489011736 774268582 978023472 1161402873 1548537164 2322805746 3097074328 4645611492 6194148656 9291222984 18582445968