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188109568656 = 24324727692
BaseRepresentation
bin1010111100110000110…
…1000011101010010000
3122222112200100012002100
42233030031003222100
511040222022144111
6222225532520400
716406346644262
oct2571415035220
9588480305070
10188109568656
117285aa47139
1230559620100
131497aa9b599
149166c65b32
154d5e648756
hex2bcc343a90

188109568656 has 135 divisors (see below), whose sum is σ = 538585185801. Its totient is φ = 61289275392.

The previous prime is 188109568637. The next prime is 188109568657. The reversal of 188109568656 is 656865901881.

The square root of 188109568656 is 433716.

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

188109568656 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 0 + 9 + 568 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73595008656 + 114514560000 = 271284^2 + 338400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 188109568593 and 188109568602.

It is not an unprimeable number, because it can be changed into a prime (188109568657) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 244615440 + ... + 244616208.

Almost surely, 2188109568656 is an apocalyptic number.

188109568656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188109568656 is the 433716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188109568656

188109568656 is an abundant number, since it is smaller than the sum of its proper divisors (350475617145).

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

188109568656 is an frugal number, since it uses more digits than its factorization.

188109568656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 188109568656 in words is "one hundred eighty-eight billion, one hundred nine million, five hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 769 846 1128 1538 1692 2209 2256 2307 3076 3384 4418 4614 6152 6627 6768 6921 8836 9228 12304 13254 13842 17672 18456 19881 26508 27684 35344 36143 36912 39762 53016 55368 72286 79524 106032 108429 110736 144572 159048 216858 289144 318096 325287 433716 578288 591361 650574 867432 1182722 1301148 1698721 1734864 1774083 2365444 2602296 3397442 3548166 4730888 5096163 5204592 5322249 6794884 7096332 9461776 10192326 10644498 13589768 14192664 15288489 20384652 21288996 27179536 27793967 28385328 30576978 40769304 42577992 55587934 61153956 81538608 83381901 85155984 111175868 122307912 166763802 222351736 244615824 250145703 333527604 444703472 500291406 667055208 1000582812 1306316449 1334110416 2001165624 2612632898 3918949347 4002331248 5225265796 7837898694 10450531592 11756848041 15675797388 20901063184 23513696082 31351594776 47027392164 62703189552 94054784328 188109568656