Search a number
-
+
316629039204 = 22344327272
BaseRepresentation
bin1001001101110001000…
…11111011100001100100
31010021021102101202010000
410212320203323201210
520141424013223304
6401242443101300
731606235266242
oct4467043734144
91107242352100
10316629039204
11112310924605
1251446511830
1323b2000a28a
1411479859792
15838250b939
hex49b88fb864

316629039204 has 135 divisors (see below), whose sum is σ = 848595325347. Its totient is φ = 102946724496.

The previous prime is 316629039173. The next prime is 316629039229. The reversal of 316629039204 is 402930926613.

The square root of 316629039204 is 562698.

It is a perfect power (a square), and thus also a powerful number.

316629039204 is a `hidden beast` number, since 3 + 16 + 629 + 0 + 3 + 9 + 2 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 316629039204.

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 44 ways as a sum of consecutive naturals, for example, 435527889 + ... + 435528615.

Almost surely, 2316629039204 is an apocalyptic number.

316629039204 is the 562698-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316629039204

316629039204 is an abundant number, since it is smaller than the sum of its proper divisors (531966286143).

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

316629039204 is an frugal number, since it uses more digits than its factorization.

316629039204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 316629039204 in words is "three hundred sixteen billion, six hundred twenty-nine million, thirty-nine thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 727 774 1161 1454 1548 1849 2181 2322 2908 3483 3698 4362 4644 5547 6543 6966 7396 8724 11094 13086 13932 16641 19629 22188 26172 31261 33282 39258 49923 58887 62522 66564 78516 93783 99846 117774 125044 149769 187566 199692 235548 281349 299538 375132 528529 562698 599076 844047 1057058 1125396 1344223 1585587 1688094 2114116 2532141 2688446 3171174 3376188 4032669 4756761 5064282 5376892 6342348 8065338 9513522 10128564 12098007 14270283 16130676 19027044 22726747 24196014 28540566 36294021 42810849 45453494 48392028 57081132 68180241 72588042 85621698 90906988 108882063 136360482 145176084 171243396 204540723 217764126 272720964 409081446 435528252 613622169 818162892 977250121 1227244338 1840866507 1954500242 2454488676 2931750363 3681733014 3909000484 5863500726 7363466028 8795251089 11727001452 17590502178 26385753267 35181004356 52771506534 79157259801 105543013068 158314519602 316629039204