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189211080256 = 2611249432
BaseRepresentation
bin1011000000110111011…
…0111111011001000000
3200002101110000202221021
42300031312333121000
511100001014032011
6222531122035224
716445553434332
oct2601566773100
9602343022837
10189211080256
11732757a4100
12308064a8b14
1314ac505b2b3
14922d279452
154dc61cc471
hex2c0ddbf640

189211080256 has 63 divisors (see below), whose sum is σ = 412785517963. Its totient is φ = 85987637120.

The previous prime is 189211080173. The next prime is 189211080257. The reversal of 189211080256 is 652080112981.

The square root of 189211080256 is 434984.

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

189211080256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (189211080257) by changing a digit.

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, 38276121 + ... + 38281063.

Almost surely, 2189211080256 is an apocalyptic number.

189211080256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189211080256 is the 434984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189211080256

189211080256 is an abundant number, since it is smaller than the sum of its proper divisors (223574437707).

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

189211080256 is an frugal number, since it uses more digits than its factorization.

189211080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 189211080256 in words is "one hundred eighty-nine billion, two hundred eleven million, eighty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 4943 7744 9886 19772 39544 54373 79088 108746 158176 217492 316352 434984 598103 869968 1196206 1739936 2392412 3479872 4784824 9569648 19139296 24433249 38278592 48866498 97732996 195465992 268765739 390931984 537531478 781863968 1075062956 1563727936 2150125912 2956423129 4300251824 5912846258 8600503648 11825692516 17201007296 23651385032 47302770064 94605540128 189211080256