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13045784232 = 23313367113933
BaseRepresentation
bin11000010011001011…
…01101111010101000
31020200011221111121210
430021211231322220
5203204210043412
65554304233120
7641200223235
oct141145557250
936604844553
1013045784232
115595006868
12264100b7a0
1312cba12270
148ba88678c
1551549783c
hex30996dea8

13045784232 has 64 divisors (see below), whose sum is σ = 35219278080. Its totient is φ = 4003114752.

The previous prime is 13045784201. The next prime is 13045784249. The reversal of 13045784232 is 23248754031.

13045784232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57538 + ... + 171470.

It is an arithmetic number, because the mean of its divisors is an integer number (550301220).

Almost surely, 213045784232 is an apocalyptic number.

13045784232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13045784232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17609639040).

13045784232 is an abundant number, since it is smaller than the sum of its proper divisors (22173493848).

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

13045784232 is a wasteful number, since it uses less digits than its factorization.

13045784232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114322 (or 114318 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 13045784232 in words is "thirteen billion, forty-five million, seven hundred eighty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 367 734 1101 1468 2202 2936 4404 4771 8808 9542 14313 19084 28626 38168 57252 113933 114504 227866 341799 455732 683598 911464 1367196 1481129 2734392 2962258 4443387 5924516 8886774 11849032 17773548 35547096 41813411 83626822 125440233 167253644 250880466 334507288 501760932 543574343 1003521864 1087148686 1630723029 2174297372 3261446058 4348594744 6522892116 13045784232