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202343412032 = 26113160917389
BaseRepresentation
bin1011110001110010011…
…0110111000101000000
3201100021122211100110122
42330130212313011000
511303344403141112
6232542201315412
720422154424026
oct2743446670500
9640248740418
10202343412032
11788a4643363
1233270495b68
1316108983c08
149b17410716
1553e406d872
hex2f1c9b7140

202343412032 has 56 divisors (see below), whose sum is σ = 405353596200. Its totient is φ = 100208295936.

The previous prime is 202343412023. The next prime is 202343412053. The reversal of 202343412032 is 230214343202.

It can be written as a sum of positive squares in 4 ways, for example, as 38752284736 + 163591127296 = 196856^2 + 404464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202343411992 and 202343412010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11627594 + ... + 11644982.

It is an arithmetic number, because the mean of its divisors is an integer number (7238457075).

Almost surely, 2202343412032 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 202343412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202676798100).

202343412032 is an abundant number, since it is smaller than the sum of its proper divisors (203010184168).

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

202343412032 is a wasteful number, since it uses less digits than its factorization.

202343412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19123 (or 19113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 202343412032 its reverse (230214343202), we get a palindrome (432557755234).

The spelling of 202343412032 in words is "two hundred two billion, three hundred forty-three million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1609 1808 3218 3616 6436 7232 12872 17389 25744 34778 51488 69556 102976 139112 181817 278224 363634 556448 727268 1112896 1454536 1964957 2909072 3929914 5818144 7859828 11636288 15719656 27978901 31439312 55957802 62878624 111915604 125757248 223831208 447662416 895324832 1790649664 3161615813 6323231626 12646463252 25292926504 50585853008 101171706016 202343412032