Search a number
-
+
132353336000 = 265324476761
BaseRepresentation
bin111101101000011011…
…1111010001011000000
3110122121221011002201102
41323100313322023000
54132024423223000
6140445143153532
712363560536154
oct1732067721300
9418557132642
10132353336000
115114900a316
1221798a458a8
13c633602642
146597c5d064
15369976d3d5
hex1ed0dfa2c0

132353336000 has 112 divisors (see below), whose sum is σ = 327955485312. Its totient is φ = 52911872000.

The previous prime is 132353335927. The next prime is 132353336023. The reversal of 132353336000 is 633353231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19572620 + ... + 19579380.

It is an arithmetic number, because the mean of its divisors is an integer number (2928173976).

Almost surely, 2132353336000 is an apocalyptic number.

132353336000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132353336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163977742656).

132353336000 is an abundant number, since it is smaller than the sum of its proper divisors (195602149312).

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

132353336000 is an equidigital number, since it uses as much as digits as its factorization.

132353336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9235 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 29.

Adding to 132353336000 its reverse (633353231), we get a palindrome (132986689231).

The spelling of 132353336000 in words is "one hundred thirty-two billion, three hundred fifty-three million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2447 4000 4894 6761 8000 9788 12235 13522 19576 24470 27044 33805 39152 48940 54088 61175 67610 78304 97880 108176 122350 135220 156608 169025 195760 216352 244700 270440 305875 338050 391520 432704 489400 540880 611750 676100 783040 845125 978800 1081760 1223500 1352200 1690250 1957600 2163520 2447000 2704400 3380500 3915200 4894000 5408800 6761000 9788000 10817600 13522000 16544167 19576000 27044000 33088334 54088000 66176668 82720835 132353336 165441670 264706672 330883340 413604175 529413344 661766680 827208350 1058826688 1323533360 1654416700 2068020875 2647066720 3308833400 4136041750 5294133440 6617666800 8272083500 13235333600 16544167000 26470667200 33088334000 66176668000 132353336000