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213045480192 = 283601461569
BaseRepresentation
bin1100011001101010000…
…0000000101100000000
3202100220111122202001110
43012122200000230000
511442304120331232
6241512144003320
721251315462646
oct3063240005400
9670814582043
10213045480192
118239668a596
1235358600540
1317122c55c1c
14a4508c9196
15581d8abacc
hex319a800b00

213045480192 has 72 divisors (see below), whose sum is σ = 567956346160. Its totient is φ = 70896844800.

The previous prime is 213045480157. The next prime is 213045480203. The reversal of 213045480192 is 291084540312.

213045480192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213045480192.

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 7 ways as a sum of consecutive naturals, for example, 230784 + ... + 692352.

Almost surely, 2213045480192 is an apocalyptic number.

It is a pronic number, being equal to 461568×461569.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213045480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283978173080).

213045480192 is an abundant number, since it is smaller than the sum of its proper divisors (354910865968).

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

213045480192 is an equidigital number, since it uses as much as digits as its factorization.

213045480192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462189 (or 462175 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 213045480192 in words is "two hundred thirteen billion, forty-five million, four hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 601 768 1202 1803 2404 3606 4808 7212 9616 14424 19232 28848 38464 57696 76928 115392 153856 230784 461568 461569 923138 1384707 1846276 2769414 3692552 5538828 7385104 11077656 14770208 22155312 29540416 44310624 59080832 88621248 118161664 177242496 277402969 354484992 554805938 832208907 1109611876 1664417814 2219223752 3328835628 4438447504 6657671256 8876895008 13315342512 17753790016 26630685024 35507580032 53261370048 71015160064 106522740096 213045480192