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12468322592 = 2511251141121
BaseRepresentation
bin10111001110010101…
…11000000100100000
31012011221100102011122
423213022320010200
5201013342310332
65421115231412
7620655664505
oct134712700440
935157312148
1012468322592
115319052340
1224bb748568
1312391a829b
14863cc94ac
154ce92cc12
hex2e72b8120

12468322592 has 48 divisors (see below), whose sum is σ = 26885434464. Its totient is φ = 5644800000.

The previous prime is 12468322549. The next prime is 12468322619. The reversal of 12468322592 is 29522386421.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17792 + ... + 158912.

It is an arithmetic number, because the mean of its divisors is an integer number (560113218).

Almost surely, 212468322592 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 12468322592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442717232).

12468322592 is an abundant number, since it is smaller than the sum of its proper divisors (14417111872).

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

12468322592 is a wasteful number, since it uses less digits than its factorization.

12468322592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141393 (or 141385 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The spelling of 12468322592 in words is "twelve billion, four hundred sixty-eight million, three hundred twenty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 251 352 502 1004 2008 2761 4016 5522 8032 11044 22088 44176 88352 141121 282242 564484 1128968 1552331 2257936 3104662 4515872 6209324 12418648 24837296 35421371 49674592 70842742 141685484 283370968 389635081 566741936 779270162 1133483872 1558540324 3117080648 6234161296 12468322592