Search a number
-
+
1998236688100 = 22521413592
BaseRepresentation
bin11101000101000000001…
…100000001111011100100
321002000210112212022202221
4131011000030001323210
5230214342043004400
64125551031042124
7264240111413032
oct35050014017344
97060715768687
101998236688100
117004a1575524
12283331510344
1311658214b553
146ca02607552
1536ea32bec1a
hex1d140301ee4

1998236688100 has 27 divisors (see below), whose sum is σ = 4336204288297. Its totient is φ = 799289020880.

The previous prime is 1998236688083. The next prime is 1998236688101. The reversal of 1998236688100 is 18866328991.

The square root of 1998236688100 is 1413590.

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., 719365207716 + 1278871480384 = 848154^2 + 1130872^2 .

It is a super-2 number, since 2×19982366881002 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1998236688101) 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, 14065221 + ... + 14206579.

Almost surely, 21998236688100 is an apocalyptic number.

1998236688100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1998236688100 is the 1413590-th square number.

It is an amenable number.

1998236688100 is an abundant number, since it is smaller than the sum of its proper divisors (2337967600197).

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

1998236688100 is an frugal number, since it uses more digits than its factorization.

1998236688100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282732 (or 141366 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 61.

The spelling of 1998236688100 in words is "one trillion, nine hundred ninety-eight billion, two hundred thirty-six million, six hundred eighty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 141359 282718 565436 706795 1413590 2827180 3533975 7067950 14135900 19982366881 39964733762 79929467524 99911834405 199823668810 399647337620 499559172025 999118344050 1998236688100