Search a number
-
+
21037691700 = 223252139211797
BaseRepresentation
bin10011100101111100…
…011011001100110100
32000022011010110122200
4103211330123030310
5321041122113300
613355314424500
71343222300064
oct234574331464
960264113580
1021037691700
118a16257173
1240b1592130
131ca3680aac
1410380453a4
15831de5200
hex4e5f1b334

21037691700 has 216 divisors, whose sum is σ = 66814369440. Its totient is φ = 5536339200.

The previous prime is 21037691699. The next prime is 21037691749. The reversal of 21037691700 is 719673012.

It is a happy number.

21037691700 is a `hidden beast` number, since 210 + 376 + 9 + 1 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 26395702 + ... + 26396498.

Almost surely, 221037691700 is an apocalyptic number.

21037691700 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21037691700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33407184720).

21037691700 is an abundant number, since it is smaller than the sum of its proper divisors (45776677740).

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

21037691700 is a wasteful number, since it uses less digits than its factorization.

21037691700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 21037691700 in words is "twenty-one billion, thirty-seven million, six hundred ninety-one thousand, seven hundred".