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38205393444 = 2234108592
BaseRepresentation
bin100011100101001110…
…000000101000100100
310122121121012002010000
4203211032000220210
51111221040042234
625315030101300
72521523325501
oct434516005044
9118547162100
1038205393444
1115225a48629
1274a2aaa830
1337ab3303aa
141bc60da4a8
15ed9196899
hex8e5380a24

38205393444 has 45 divisors (see below), whose sum is σ = 99885643627. Its totient is φ = 12733958376.

The previous prime is 38205393397. The next prime is 38205393461. The reversal of 38205393444 is 44439350283.

The square root of 38205393444 is 195462.

It is a perfect power (a square), and thus also a powerful number.

38205393444 is a `hidden beast` number, since 3 + 82 + 0 + 539 + 34 + 4 + 4 = 666.

It is a super-2 number, since 2×382053934442 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38205393444.

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 14 ways as a sum of consecutive naturals, for example, 3512887 + ... + 3523745.

Almost surely, 238205393444 is an apocalyptic number.

38205393444 is the 195462-nd square number.

It is an amenable number.

38205393444 is an abundant number, since it is smaller than the sum of its proper divisors (61680250183).

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

38205393444 is an frugal number, since it uses more digits than its factorization.

38205393444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21734 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 38205 and 393444, that added together give a square (431649 = 6572).

The spelling of 38205393444 in words is "thirty-eight billion, two hundred five million, three hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 10859 21718 32577 43436 65154 97731 130308 195462 293193 390924 586386 879579 1172772 1759158 3518316 117917881 235835762 353753643 471671524 707507286 1061260929 1415014572 2122521858 3183782787 4245043716 6367565574 9551348361 12735131148 19102696722 38205393444