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211489414332 = 223731179619733
BaseRepresentation
bin1100010011110111000…
…0000101110010111100
3202012220001122101222120
43010331300011302330
511431112242224312
6241053520042540
721164622234540
oct3047560056274
9665801571876
10211489414332
1181768296249
1234ba3463450
1316c357635b1
14a343d8da20
15577be8a28c
hex313dc05cbc

211489414332 has 192 divisors, whose sum is σ = 587162419200. Its totient is φ = 57976508160.

The previous prime is 211489414261. The next prime is 211489414351. The reversal of 211489414332 is 233414984112.

211489414332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 288525438 + ... + 288526170.

It is an arithmetic number, because the mean of its divisors is an integer number (3058137600).

Almost surely, 2211489414332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211489414332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293581209600).

211489414332 is an abundant number, since it is smaller than the sum of its proper divisors (375673004868).

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

211489414332 is a wasteful number, since it uses less digits than its factorization.

211489414332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1574 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 211489414332 in words is "two hundred eleven billion, four hundred eighty-nine million, four hundred fourteen thousand, three hundred thirty-two".