Search a number
-
+
12532659168 = 2533159137521
BaseRepresentation
bin10111010110000000…
…10011001111100000
31012100102102001100210
423223000103033200
5201131330043133
65431334214120
7622366562631
oct135300231740
935312361323
1012532659168
1153513a5367
1225191b4340
131249613073
1486c675888
154d53da763
hex2eb0133e0

12532659168 has 192 divisors, whose sum is σ = 34853898240. Its totient is φ = 3937689600.

The previous prime is 12532659149. The next prime is 12532659187. The reversal of 12532659168 is 86195623521.

It is an interprime number because it is at equal distance from previous prime (12532659149) and next prime (12532659187).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24054748 + ... + 24055268.

It is an arithmetic number, because the mean of its divisors is an integer number (181530720).

Almost surely, 212532659168 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 12532659168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426949120).

12532659168 is an abundant number, since it is smaller than the sum of its proper divisors (22321239072).

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

12532659168 is a wasteful number, since it uses less digits than its factorization.

12532659168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 753 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The spelling of 12532659168 in words is "twelve billion, five hundred thirty-two million, six hundred fifty-nine thousand, one hundred sixty-eight".