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188196321856 = 2621122572
BaseRepresentation
bin1010111101000101011…
…1111111101001000000
3122222202201120201002211
42233101113333221000
511040411224244411
6222242312151504
716411452225124
oct2572127775100
9588681521084
10188196321856
11728a4a100a4
1230582698594
1314992a5473a
1491745a9584
154d67083221
hex2bd15ffa40

188196321856 has 63 divisors (see below), whose sum is σ = 376696100937. Its totient is φ = 93287792640.

The previous prime is 188196321799. The next prime is 188196321857. The reversal of 188196321856 is 658123691881.

It is a happy number.

The square root of 188196321856 is 433816.

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

It can be written as a sum of positive squares in only one way, i.e., 185278593600 + 2917728256 = 430440^2 + 54016^2 .

It is a super-3 number, since 3×1881963218563 (a number of 35 digits) contains 333 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 188196321856.

It is not an unprimeable number, because it can be changed into a prime (188196321857) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 732281280 + ... + 732281536.

Almost surely, 2188196321856 is an apocalyptic number.

188196321856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188196321856 is the 433816-th square number.

It is an amenable number.

188196321856 is an abundant number, since it is smaller than the sum of its proper divisors (188499779081).

188196321856 is an frugal number, since it uses more digits than its factorization.

188196321856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 470 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 58.

The spelling of 188196321856 in words is "one hundred eighty-eight billion, one hundred ninety-six million, three hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 211 257 422 514 844 1028 1688 2056 3376 4112 6752 8224 13504 16448 44521 54227 66049 89042 108454 132098 178084 216908 264196 356168 433816 528392 712336 867632 1056784 1424672 1735264 2113568 2849344 3470528 4227136 11441897 13936339 22883794 27872678 45767588 55745356 91535176 111490712 183070352 222981424 366140704 445962848 732281408 891925696 2940567529 5881135058 11762270116 23524540232 47049080464 94098160928 188196321856