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189447785536 = 2641213272
BaseRepresentation
bin1011000001101111110…
…1111100110001000000
3200002222221102122112111
42300123331330301000
511100442113114121
6223010415305104
716454456415232
oct2603375746100
9602887378474
10189447785536
11733873772a9
123087181b194
1314b320c75a9
149252894252
154ddbd872e1
hex2c1bf7cc40

189447785536 has 63 divisors (see below), whose sum is σ = 385618838997. Its totient is φ = 92343912960.

The previous prime is 189447785521. The next prime is 189447785573. The reversal of 189447785536 is 635587744981.

The square root of 189447785536 is 435256.

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

189447785536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9128655936 + 180319129600 = 95544^2 + 424640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142763305 + ... + 142764631.

Almost surely, 2189447785536 is an apocalyptic number.

189447785536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189447785536 is the 435256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189447785536

189447785536 is an abundant number, since it is smaller than the sum of its proper divisors (196171053461).

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

189447785536 is an frugal number, since it uses more digits than its factorization.

189447785536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 1370 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 67.

The spelling of 189447785536 in words is "one hundred eighty-nine billion, four hundred forty-seven million, seven hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 1327 1681 2624 2654 3362 5308 6724 10616 13448 21232 26896 42464 53792 54407 84928 107584 108814 217628 435256 870512 1741024 1760929 2230687 3482048 3521858 4461374 7043716 8922748 14087432 17845496 28174864 35690992 56349728 71381984 72198089 112699456 142763968 144396178 288792356 577584712 1155169424 2310338848 2960121649 4620677696 5920243298 11840486596 23680973192 47361946384 94723892768 189447785536