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13036304768 = 271073133041
BaseRepresentation
bin11000010010000011…
…00011100110000000
31020122112002220020112
430021001203212000
5203144243223033
65553325130452
7641023522304
oct141101434600
936575086215
1013036304768
11558a7217a3
1226399b9a28
1312c9a73606
148b94d9d04
15514723c48
hex309063980

13036304768 has 64 divisors (see below), whose sum is σ = 26305877520. Its totient is φ = 6434488320.

The previous prime is 13036304747. The next prime is 13036304783. The reversal of 13036304768 is 86740363031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4285328 + ... + 4288368.

Almost surely, 213036304768 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 13036304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152938760).

13036304768 is an abundant number, since it is smaller than the sum of its proper divisors (13269572752).

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

13036304768 is a wasteful number, since it uses less digits than its factorization.

13036304768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 41.

Adding to 13036304768 its reverse (86740363031), we get a palindrome (99776667799).

The spelling of 13036304768 in words is "thirteen billion, thirty-six million, three hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 313 428 626 856 1252 1712 2504 3041 3424 5008 6082 6848 10016 12164 13696 20032 24328 33491 40064 48656 66982 97312 133964 194624 267928 325387 389248 535856 650774 951833 1071712 1301548 1903666 2143424 2603096 3807332 4286848 5206192 7614664 10412384 15229328 20824768 30458656 41649536 60917312 101846131 121834624 203692262 407384524 814769048 1629538096 3259076192 6518152384 13036304768