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192641988100 = 2252438912
BaseRepresentation
bin1011001101101001011…
…0110111011000000100
3200102020112212221201011
42303122112313120010
511124012322104400
6224255402212004
716626563611162
oct2633226673004
9612215787634
10192641988100
117477641aa31
12314034b4004
1315220ab6393
149476bb0232
1550274dc8ba
hex2cda5b7604

192641988100 has 27 divisors (see below), whose sum is σ = 418042638741. Its totient is φ = 77055039600.

The previous prime is 192641988089. The next prime is 192641988107. The reversal of 192641988100 is 1889146291.

The square root of 192641988100 is 438910.

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

192641988100 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., 69351115716 + 123290872384 = 263346^2 + 351128^2 .

It is a super-2 number, since 2×1926419881002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192641988107) 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, 4367155 + ... + 4411045.

Almost surely, 2192641988100 is an apocalyptic number.

192641988100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

192641988100 is the 438910-th square number.

It is an amenable number.

192641988100 is an abundant number, since it is smaller than the sum of its proper divisors (225400650641).

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

192641988100 is an frugal number, since it uses more digits than its factorization.

192641988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87796 (or 43898 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 49.

Multiplying 192641988100 by its sum of digits (49), we get a square (9439457416900 = 30723702).

The spelling of 192641988100 in words is "one hundred ninety-two billion, six hundred forty-one million, nine hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 43891 87782 175564 219455 438910 877820 1097275 2194550 4389100 1926419881 3852839762 7705679524 9632099405 19264198810 38528397620 48160497025 96320994050 192641988100