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13258033432 = 237677944729
BaseRepresentation
bin11000101100011110…
…11000100100011000
31021012222022212210021
430112033120210120
5204123024032212
610031325400224
7646355265460
oct142617304430
937188285707
1013258033432
1156938a5826
1226a0109074
131333997ac7
148dab36ba0
15528e21307
hex3163d8918

13258033432 has 64 divisors (see below), whose sum is σ = 29199744000. Its totient is φ = 5526233856.

The previous prime is 13258033421. The next prime is 13258033433. The reversal of 13258033432 is 23433085231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13258033433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274044 + ... + 318772.

It is an arithmetic number, because the mean of its divisors is an integer number (456246000).

Almost surely, 213258033432 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 13258033432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14599872000).

13258033432 is an abundant number, since it is smaller than the sum of its proper divisors (15941710568).

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

13258033432 is a wasteful number, since it uses less digits than its factorization.

13258033432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44888 (or 44884 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 13258033432 in words is "thirteen billion, two hundred fifty-eight million, thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 67 79 134 158 268 316 469 536 553 632 938 1106 1876 2212 3752 4424 5293 10586 21172 37051 42344 44729 74102 89458 148204 178916 296408 313103 357832 626206 1252412 2504824 2996843 3533591 5993686 7067182 11987372 14134364 20977901 23974744 24735137 28268728 41955802 49470274 83911604 98940548 167823208 197881096 236750597 473501194 947002388 1657254179 1894004776 3314508358 6629016716 13258033432