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188213674896 = 24381321032
BaseRepresentation
bin1010111101001001101…
…0001100001110010000
3122222210221020100000000
42233102122030032100
511040430200044041
6222244132130000
716412052561102
oct2572232141620
9588727210000
10188213674896
1172903792755
1230588466900
131499651c100
149176a05572
154d6885ebb6
hex2bd268c390

188213674896 has 405 divisors, whose sum is σ = 598085289009. Its totient is φ = 57349648512.

The previous prime is 188213674813. The next prime is 188213674903. The reversal of 188213674896 is 698476312881.

The square root of 188213674896 is 433836.

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

188213674896 is a `hidden beast` number, since 1 + 8 + 82 + 13 + 67 + 489 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27842259600 + 160371415296 = 166860^2 + 400464^2 .

It is a super-2 number, since 2×1882136748962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1827317181 + ... + 1827317283.

Almost surely, 2188213674896 is an apocalyptic number.

188213674896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188213674896 is the 433836-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188213674896

188213674896 is an abundant number, since it is smaller than the sum of its proper divisors (409871614113).

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

188213674896 is an frugal number, since it uses more digits than its factorization.

188213674896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 121 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 188213674896 in words is "one hundred eighty-eight billion, two hundred thirteen million, six hundred seventy-four thousand, eight hundred ninety-six".