Search a number
-
+
13052046530464 = 2529411303326321
BaseRepresentation
bin1011110111101110101010…
…0110001101011110100000
31201012202121120020012220221
42331323222212031132200
53202321042402433324
643432005530212424
72514656610663304
oct275735246153640
951182546205827
1013052046530464
114182384000437
1215696a7b84114
13738a587145c6
14331a18483d04
151797a8a310e4
hexbdeea98d7a0

13052046530464 has 96 divisors (see below), whose sum is σ = 27233765652240. Its totient is φ = 6146600140800.

The previous prime is 13052046530431. The next prime is 13052046530477. The reversal of 13052046530464 is 46403564025031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7331855907600 + 5720190622864 = 2707740^2 + 2391692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13052046530464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495866424 + ... + 495892744.

Almost surely, 213052046530464 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 13052046530464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13616882826120).

13052046530464 is an abundant number, since it is smaller than the sum of its proper divisors (14181719121776).

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

13052046530464 is a wasteful number, since it uses less digits than its factorization.

13052046530464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39434 (or 39426 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 13052046530464 in words is "thirteen trillion, fifty-two billion, forty-six million, five hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 41 58 82 116 164 232 328 464 656 928 1189 1312 2378 4756 9512 13033 19024 26066 26321 38048 52132 52642 104264 105284 208528 210568 377957 417056 421136 534353 755914 763309 842272 1068706 1079161 1511828 1526618 2137412 2158322 3023656 3053236 4274824 4316644 6047312 6106472 8549648 8633288 12094624 12212944 15496237 17099296 17266576 24425888 30992474 31295669 34533152 61984948 62591338 123969896 125182676 247939792 250365352 343041593 495879584 500730704 686083186 1001461408 1372166372 2744332744 5488665488 9948206197 10977330976 14064705313 19896412394 28129410626 39792824788 56258821252 79585649576 112517642504 159171299152 225035285008 318342598304 407876454077 450070570016 815752908154 1631505816308 3263011632616 6526023265232 13052046530464