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202383443412 = 22321729113100913
BaseRepresentation
bin1011110001111011111…
…1100100010111010100
3201100101110011011012100
42330132333210113110
511303440130142122
6232550151322100
720423151612423
oct2743677442724
9640343134170
10202383443412
11789151a5547
1233281980330
131611405bb17
149b1c8712ba
1553e7829aac
hex2f1efe45d4

202383443412 has 144 divisors (see below), whose sum is σ = 565316191440. Its totient is φ = 60760326144.

The previous prime is 202383443411. The next prime is 202383443447. The reversal of 202383443412 is 214344383202.

202383443412 is a `hidden beast` number, since 2 + 0 + 238 + 3 + 4 + 4 + 3 + 412 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 50933267856 + 151450175556 = 225684^2 + 389166^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202383443411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1955068 + ... + 2055980.

It is an arithmetic number, because the mean of its divisors is an integer number (3925806885).

Almost surely, 2202383443412 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 202383443412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282658095720).

202383443412 is an abundant number, since it is smaller than the sum of its proper divisors (362932748028).

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

202383443412 is a wasteful number, since it uses less digits than its factorization.

202383443412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101082 (or 101077 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 202383443412 in words is "two hundred two billion, three hundred eighty-three million, four hundred forty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 113 116 153 174 204 226 261 306 339 348 452 493 522 612 678 986 1017 1044 1356 1479 1921 1972 2034 2958 3277 3842 4068 4437 5763 5916 6554 7684 8874 9831 11526 13108 17289 17748 19662 23052 29493 34578 39324 55709 58986 69156 100913 111418 117972 167127 201826 222836 302739 334254 403652 501381 605478 668508 908217 1002762 1210956 1715521 1816434 2005524 2926477 3431042 3632868 5146563 5852954 6862084 8779431 10293126 11403169 11705908 15439689 17558862 20586252 22806338 26338293 30879378 34209507 35117724 45612676 49750109 52676586 61758756 68419014 99500218 102628521 105353172 136838028 149250327 193853873 199000436 205257042 298500654 330691901 387707746 410514084 447750981 581561619 597001308 661383802 775415492 895501962 992075703 1163123238 1322767604 1744684857 1791003924 1984151406 2326246476 2976227109 3489369714 3968302812 5621762317 5952454218 6978739428 11243524634 11904908436 16865286951 22487049268 33730573902 50595860853 67461147804 101191721706 202383443412