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12353433316 = 22721724672
BaseRepresentation
bin10111000000101001…
…00110111011100100
31011212221011102201021
423200110212323210
5200244434331231
65401452540524
7615062310400
oct134024467344
934787142637
1012353433316
11526a211324
122489181744
13121b450673
14852940100
154c47d6811
hex2e0526ee4

12353433316 has 81 divisors (see below), whose sum is σ = 26771702601. Its totient is φ = 4972227456.

The previous prime is 12353433289. The next prime is 12353433409. The reversal of 12353433316 is 61333435321.

The square root of 12353433316 is 111146.

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., 9617724900 + 2735708416 = 98070^2 + 52304^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26452515 + ... + 26452981.

Almost surely, 212353433316 is an apocalyptic number.

12353433316 is the 111146-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12353433316

12353433316 is an abundant number, since it is smaller than the sum of its proper divisors (14418269285).

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

12353433316 is an equidigital number, since it uses as much as digits as its factorization.

12353433316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 493 counting only the distinct ones).

The product of its digits is 58320, while the sum is 34.

Adding to 12353433316 its reverse (61333435321), we get a palindrome (73686868637).

The spelling of 12353433316 in words is "twelve billion, three hundred fifty-three million, four hundred thirty-three thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 289 467 476 578 833 934 1156 1666 1868 2023 3269 3332 4046 6538 7939 8092 13076 14161 15878 22883 28322 31756 45766 55573 56644 91532 111146 134963 218089 222292 269926 389011 436178 539852 778022 872356 944741 1526623 1556044 1889482 3053246 3707513 3778964 6106492 6613187 7415026 10686361 13226374 14830052 21372722 25952591 26452748 42745444 51905182 63027721 103810364 126055442 181668137 252110884 363336274 441194047 726672548 882388094 1764776188 3088358329 6176716658 12353433316