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13395566432 = 251737217987
BaseRepresentation
bin11000111100111000…
…00001111101100000
31021120120010021121002
430132130001331200
5204413231111212
610053121251132
7652645302353
oct143634017540
937516107532
1013395566432
1157544a2366
12271a193aa8
131356320291
149110d829a
1553603bac2
hex31e701f60

13395566432 has 72 divisors (see below), whose sum is σ = 28700537544. Its totient is φ = 6133082112.

The previous prime is 13395566417. The next prime is 13395566473. The reversal of 13395566432 is 23466559331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 735743 + ... + 753729.

It is an arithmetic number, because the mean of its divisors is an integer number (398618577).

Almost surely, 213395566432 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 13395566432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14350268772).

13395566432 is an abundant number, since it is smaller than the sum of its proper divisors (15304971112).

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

13395566432 is a wasteful number, since it uses less digits than its factorization.

13395566432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18088 (or 18043 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 47.

The spelling of 13395566432 in words is "thirteen billion, three hundred ninety-five million, five hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 1369 2516 2738 5032 5476 10064 10952 17987 20128 21904 23273 35974 43808 46546 71948 93092 143896 186184 287792 305779 372368 575584 611558 665519 744736 1223116 1331038 2446232 2662076 4892464 5324152 9784928 10648304 11313823 21296608 22627646 24624203 45255292 49248406 90510584 98496812 181021168 196993624 362042336 393987248 418611451 787974496 837222902 1674445804 3348891608 6697783216 13395566432