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243234533982 = 231119838292819
BaseRepresentation
bin1110001010000111101…
…0000111001001011110
3212020211102200120110210
43202201322013021132
512441121020041412
6303423532113250
723400402266016
oct3424172071136
9766742616423
10243234533982
119417860a520
123b182905826
1319c24541b6b
14bab60a6c46
1564d8dcb83c
hex38a1e8725e

243234533982 has 128 divisors (see below), whose sum is σ = 566237952000. Its totient is φ = 68879134080.

The previous prime is 243234533957. The next prime is 243234534007. The reversal of 243234533982 is 289335432342.

243234533982 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243234533957) and next prime (243234534007).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 86282569 + ... + 86285387.

It is an arithmetic number, because the mean of its divisors is an integer number (4423734000).

Almost surely, 2243234533982 is an apocalyptic number.

243234533982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 243234533982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283118976000).

243234533982 is an abundant number, since it is smaller than the sum of its proper divisors (323003418018).

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

243234533982 is a wasteful number, since it uses less digits than its factorization.

243234533982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766.

The product of its digits is 3732480, while the sum is 48.

The spelling of 243234533982 in words is "two hundred forty-three billion, two hundred thirty-four million, five hundred thirty-three thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 83 114 166 209 249 418 498 627 829 913 1254 1577 1658 1826 2487 2739 2819 3154 4731 4974 5478 5638 8457 9119 9462 15751 16914 17347 18238 27357 31009 31502 34694 47253 52041 53561 54714 62018 68807 93027 94506 104082 107122 137614 160683 173261 186054 206421 233977 321366 346522 412842 467954 519783 589171 701931 756877 1039566 1178342 1307333 1403862 1513754 1767513 2270631 2336951 2573747 2614666 3535026 3921999 4445563 4541262 4673902 5147494 7010853 7721241 7843998 8891126 13336689 14021706 14380663 15442482 25706461 26673378 28761326 43141989 44402069 48901193 51412922 77119383 86283978 88804138 97802386 133206207 146703579 154238766 193966933 266412414 293407158 387933866 488422759 581900799 976845518 1163801598 1465268277 2133636263 2930536554 3685371727 4267272526 6400908789 7370743454 11056115181 12801817578 22112230362 40539088997 81078177994 121617266991 243234533982