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13145033152 = 26716414513
BaseRepresentation
bin11000011111000000…
…10100100111000000
31020221002200212112201
430033200110213000
5203410112030102
610012211402544
7643513636546
oct141740244700
936832625481
1013145033152
115636034a69
12266a2b3454
131316451c34
148c9b1dd96
1551e04e987
hex30f8149c0

13145033152 has 56 divisors (see below), whose sum is σ = 26499202272. Its totient is φ = 6468403200.

The previous prime is 13145033147. The next prime is 13145033189. The reversal of 13145033152 is 25133054131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13145033152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2910448 + ... + 2914960.

Almost surely, 213145033152 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 13145033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13249601136).

13145033152 is an abundant number, since it is smaller than the sum of its proper divisors (13354169120).

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

13145033152 is an equidigital number, since it uses as much as digits as its factorization.

13145033152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 13145033152 its reverse (25133054131), we get a palindrome (38278087283).

The spelling of 13145033152 in words is "thirteen billion, one hundred forty-five million, thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 641 1136 1282 2272 2564 4513 4544 5128 9026 10256 18052 20512 36104 41024 45511 72208 91022 144416 182044 288832 320423 364088 640846 728176 1281692 1456352 2563384 2892833 2912704 5126768 5785666 10253536 11571332 20507072 23142664 46285328 92570656 185141312 205391143 410782286 821564572 1643129144 3286258288 6572516576 13145033152