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13002014432 = 251161360257
BaseRepresentation
bin11000001101111101…
…01111111011100000
31020120010120202202002
430012332233323200
5203112003430212
65550102143132
7640126204421
oct140676577340
936503522662
1013002014432
115572330980
12262a421aa8
1312c2928884
148b4b31648
155116edac2
hex306fafee0

13002014432 has 48 divisors (see below), whose sum is σ = 27970799472. Its totient is φ = 5900267520.

The previous prime is 13002014411. The next prime is 13002014437. The reversal of 13002014432 is 23441020031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002014437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185648 + ... + 245904.

It is an arithmetic number, because the mean of its divisors is an integer number (582724989).

Almost surely, 213002014432 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 13002014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985399736).

13002014432 is an abundant number, since it is smaller than the sum of its proper divisors (14968785040).

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

13002014432 is a wasteful number, since it uses less digits than its factorization.

13002014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60891 (or 60883 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13002014432 its reverse (23441020031), we get a palindrome (36443034463).

The spelling of 13002014432 in words is "thirteen billion, two million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 613 1226 2452 4904 6743 9808 13486 19616 26972 53944 60257 107888 120514 215776 241028 482056 662827 964112 1325654 1928224 2651308 5302616 10605232 21210464 36937541 73875082 147750164 295500328 406312951 591000656 812625902 1182001312 1625251804 3250503608 6501007216 13002014432