Search a number
-
+
264342243462 = 231143241386489
BaseRepresentation
bin1111011000110000000…
…1101000100010000110
3221021022110120022110120
43312030001220202012
513312333103242322
6321234231402410
725045434665433
oct3661401504206
9837273508416
10264342243462
11a211a33a020
1243293823406
131bc0956959b
14cb19536b8a
156d22002a5c
hex3d8c068886

264342243462 has 64 divisors (see below), whose sum is σ = 592609754880. Its totient is φ = 77915980800.

The previous prime is 264342243353. The next prime is 264342243469.

264342243462 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264342243469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490714 + ... + 877202.

It is an arithmetic number, because the mean of its divisors is an integer number (9259527420).

Almost surely, 2264342243462 is an apocalyptic number.

264342243462 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 264342243462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296304877440).

264342243462 is an abundant number, since it is smaller than the sum of its proper divisors (328267511418).

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

264342243462 is a wasteful number, since it uses less digits than its factorization.

264342243462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386789.

The product of its digits is 1327104, while the sum is 42.

The spelling of 264342243462 in words is "two hundred sixty-four billion, three hundred forty-two million, two hundred forty-three thousand, four hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 241 258 473 482 723 946 1419 1446 2651 2838 5302 7953 10363 15906 20726 31089 62178 113993 227986 341979 386489 683958 772978 1159467 2318934 4251379 8502758 12754137 16619027 25508274 33238054 49857081 93143849 99714162 182809297 186287698 279431547 365618594 548427891 558863094 1024582339 1096855782 2049164678 3073747017 4005185507 6147494034 8010371014 12015556521 24031113042 44057040577 88114081154 132171121731 264342243462