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12452493328 = 2411211356921
BaseRepresentation
bin10111001100011100…
…11111100000010000
31012010211120012111121
423212032133200100
5201000314241303
65415352052024
7620404306162
oct134616374020
935124505447
1012452493328
115310120600
1224b6394014
131235b25362
14861b68932
154cd3529bd
hex2e639f810

12452493328 has 60 divisors (see below), whose sum is σ = 26754592284. Its totient is φ = 5610035200.

The previous prime is 12452493311. The next prime is 12452493329. The reversal of 12452493328 is 82339425421.

It can be written as a sum of positive squares in 2 ways, for example, as 5226133264 + 7226360064 = 72292^2 + 85008^2 .

It is not an unprimeable number, because it can be changed into a prime (12452493329) 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, 190308 + ... + 247228.

Almost surely, 212452493328 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 12452493328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377296142).

12452493328 is an abundant number, since it is smaller than the sum of its proper divisors (14302098956).

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

12452493328 is a wasteful number, since it uses less digits than its factorization.

12452493328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57064 (or 57047 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 12452493328 in words is "twelve billion, four hundred fifty-two million, four hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 176 226 242 452 484 904 968 1243 1808 1936 2486 4972 9944 13673 19888 27346 54692 56921 109384 113842 218768 227684 455368 626131 910736 1252262 2504524 5009048 6432073 6887441 10018096 12864146 13774882 25728292 27549764 51456584 55099528 70752803 102913168 110199056 141505606 283011212 566022424 778280833 1132044848 1556561666 3113123332 6226246664 12452493328