Search a number
-
+
13212243984 = 243432148867
BaseRepresentation
bin11000100111000001…
…01101100000010000
31021002210011112110210
430103200231200100
5204024313301414
610023012124120
7645261135522
oct142340554020
937083145423
1013212243984
11566aa70505
122688906640
131327355064
148d4a17a12
15524dc8e59
hex31382d810

13212243984 has 60 divisors (see below), whose sum is σ = 34944083376. Its totient is φ = 4301631936.

The previous prime is 13212243983. The next prime is 13212244007. The reversal of 13212243984 is 48934221231.

It is not an unprimeable number, because it can be changed into a prime (13212243983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14319 + ... + 163185.

Almost surely, 213212243984 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 13212243984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472041688).

13212243984 is an abundant number, since it is smaller than the sum of its proper divisors (21731839392).

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

13212243984 is a wasteful number, since it uses less digits than its factorization.

13212243984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148964 (or 148915 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 13212243984 in words is "thirteen billion, two hundred twelve million, two hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1849 2064 3698 5547 7396 11094 14792 22188 29584 44376 88752 148867 297734 446601 595468 893202 1190936 1786404 2381872 3572808 6401281 7145616 12802562 19203843 25605124 38407686 51210248 76815372 102420496 153630744 275255083 307261488 550510166 825765249 1101020332 1651530498 2202040664 3303060996 4404081328 6606121992 13212243984