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12504400216 = 23711167121553
BaseRepresentation
bin10111010010101001…
…00000000101011000
31012021110020100100221
423221110200011120
5201102111301331
65424444405424
7621604435210
oct135124400530
935243210327
1012504400216
115337453a60
12250b846874
1312437ca6a9
148689db240
154d2ba7711
hex2e9520158

12504400216 has 64 divisors (see below), whose sum is σ = 29406343680. Its totient is φ = 4842631680.

The previous prime is 12504400193. The next prime is 12504400229. The reversal of 12504400216 is 61200440521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42096 + ... + 163648.

It is an arithmetic number, because the mean of its divisors is an integer number (459474120).

Almost surely, 212504400216 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 12504400216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703171840).

12504400216 is an abundant number, since it is smaller than the sum of its proper divisors (16901943464).

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

12504400216 is a wasteful number, since it uses less digits than its factorization.

12504400216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121744 (or 121740 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12504400216 its reverse (61200440521), we get a palindrome (73704840737).

The spelling of 12504400216 in words is "twelve billion, five hundred four million, four hundred thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 167 308 334 616 668 1169 1336 1837 2338 3674 4676 7348 9352 12859 14696 25718 51436 102872 121553 243106 486212 850871 972424 1337083 1701742 2674166 3403484 5348332 6806968 9359581 10696664 18719162 20299351 37438324 40598702 74876648 81197404 142095457 162394808 223292861 284190914 446585722 568381828 893171444 1136763656 1563050027 1786342888 3126100054 6252200108 12504400216