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13024412032 = 272337119569
BaseRepresentation
bin11000010000101000…
…01100000110000000
31020121200201200110211
430020110030012000
5203133222141112
65552222203504
7640520450512
oct141024140600
936550650424
1013024412032
115583a39595
122635a23594
1312c746b3a8
148b7ac1bb2
155136750a7
hex30850c180

13024412032 has 64 divisors (see below), whose sum is σ = 27807199200. Its totient is φ = 6060662784.

The previous prime is 13024411957. The next prime is 13024412047. The reversal of 13024412032 is 23021442031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13024411994 and 13024412012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49144 + ... + 168712.

Almost surely, 213024412032 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 13024412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13903599600).

13024412032 is an abundant number, since it is smaller than the sum of its proper divisors (14782787168).

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

13024412032 is a wasteful number, since it uses less digits than its factorization.

13024412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119643 (or 119631 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13024412032 its reverse (23021442031), we get a palindrome (36045854063).

The spelling of 13024412032 in words is "thirteen billion, twenty-four million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 296 368 592 736 851 1184 1472 1702 2368 2944 3404 4736 6808 13616 27232 54464 108928 119569 239138 478276 956552 1913104 2750087 3826208 4424053 5500174 7652416 8848106 11000348 15304832 17696212 22000696 35392424 44001392 70784848 88002784 101753219 141569696 176005568 203506438 283139392 352011136 407012876 566278784 814025752 1628051504 3256103008 6512206016 13024412032