Search a number
-
+
32325681152 = 2141726827
BaseRepresentation
bin11110000110110000…
…101100000000000000
310002102211110202011002
4132012300230000000
51012200333244102
622503351311132
72223026520242
oct360660540000
9102384422132
1032325681152
1112789005776
12632197b4a8
13308215c4ab
1417c9280092
15c92dbe902
hex786c2c000

32325681152 has 90 divisors (see below), whose sum is σ = 68686054332. Its totient is φ = 15209857024.

The previous prime is 32325681133. The next prime is 32325681181. The reversal of 32325681152 is 25118652323.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4731563 + ... + 4738389.

Almost surely, 232325681152 is an apocalyptic number.

32325681152 is a gapful number since it is divisible by the number (32) 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 32325681152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34343027166).

32325681152 is an abundant number, since it is smaller than the sum of its proper divisors (36360373180).

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

32325681152 is an frugal number, since it uses more digits than its factorization.

32325681152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6846 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The spelling of 32325681152 in words is "thirty-two billion, three hundred twenty-five million, six hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1088 1156 2048 2176 2312 4096 4352 4624 6827 8192 8704 9248 13654 16384 17408 18496 27308 34816 36992 54616 69632 73984 109232 116059 139264 147968 218464 232118 278528 295936 436928 464236 591872 873856 928472 1183744 1747712 1856944 1973003 2367488 3495424 3713888 3946006 4734976 6990848 7427776 7892012 13981696 14855552 15784024 27963392 29711104 31568048 55926784 59422208 63136096 111853568 118844416 126272192 237688832 252544384 475377664 505088768 950755328 1010177536 1901510656 2020355072 4040710144 8081420288 16162840576 32325681152