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190017528100 = 2252435912
BaseRepresentation
bin1011000011110111101…
…1010110000100100100
3200011110122111120101221
42300331323112010210
511103123441344400
6223143131030124
716504545224251
oct2607573260444
9604418446357
10190017528100
1173649a39324
12309b059b344
1314bc315ac7a
1492a8402428
154e21dc9c1a
hex2c3ded6124

190017528100 has 27 divisors (see below), whose sum is σ = 412347495441. Its totient is φ = 76005267600.

The previous prime is 190017528097. The next prime is 190017528119. The reversal of 190017528100 is 1825710091.

It is a happy number.

The square root of 190017528100 is 435910.

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

190017528100 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., 68406310116 + 121611217984 = 261546^2 + 348728^2 .

It is a super-2 number, since 2×1900175281002 (a number of 23 digits) contains 22 as substring.

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, 4337305 + ... + 4380895.

Almost surely, 2190017528100 is an apocalyptic number.

190017528100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190017528100 is the 435910-th square number.

It is an amenable number.

190017528100 is an abundant number, since it is smaller than the sum of its proper divisors (222329967341).

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

190017528100 is an frugal number, since it uses more digits than its factorization.

190017528100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87196 (or 43598 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The spelling of 190017528100 in words is "one hundred ninety billion, seventeen million, five hundred twenty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 43591 87182 174364 217955 435910 871820 1089775 2179550 4359100 1900175281 3800350562 7600701124 9500876405 19001752810 38003505620 47504382025 95008764050 190017528100