Search a number
-
+
232383987269316 = 22362822992
BaseRepresentation
bin110100110101101000011101…
…000000110011111011000100
31010110210200200121222001000000
4310311220131000303323010
5220424334401220104231
62142123421401321300
766643121560321101
oct6465503500637304
91113720617861000
10232383987269316
116805454a636a63
12220916a7196230
139c8893ccaab4c
1441556330d9aa8
151bcec92a816e6
hexd35a1d033ec4

232383987269316 has 63 divisors (see below), whose sum is σ = 609731201920351. Its totient is φ = 77461054695144.

The previous prime is 232383987269297. The next prime is 232383987269333. The reversal of 232383987269316 is 613962789383232.

The square root of 232383987269316 is 15244146.

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

232383987269316 is a `hidden beast` number, since 2 + 3 + 2 + 383 + 98 + 72 + 6 + 93 + 1 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 823042735 + ... + 823325033.

Almost surely, 2232383987269316 is an apocalyptic number.

232383987269316 is the 15244146-th square number.

It is an amenable number.

232383987269316 is an abundant number, since it is smaller than the sum of its proper divisors (377347214651035).

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

232383987269316 is an frugal number, since it uses more digits than its factorization.

232383987269316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564620 (or 282304 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 232383987269316 in words is "two hundred thirty-two trillion, three hundred eighty-three billion, nine hundred eighty-seven million, two hundred sixty-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 282299 564598 846897 1129196 1693794 2540691 3387588 5081382 7622073 10162764 15244146 22866219 30488292 45732438 68598657 91464876 137197314 205795971 274394628 411591942 823183884 79692725401 159385450802 239078176203 318770901604 478156352406 717234528609 956312704812 1434469057218 2151703585827 2868938114436 4303407171654 6455110757481 8606814343308 12910221514962 19365332272443 25820443029924 38730664544886 58095996817329 77461329089772 116191993634658 232383987269316