Search a number
-
+
215130064000 = 275313445629
BaseRepresentation
bin1100100001011011000…
…0000100010010000000
3202120021210011120110011
43020112300010102000
512011041244022000
6242455051514304
721354060241525
oct3102660042200
9676253146404
10215130064000
1183266349225
123583a758994
1317395aa6b77
14a5ab6c114c
1558e18cb2ba
hex3216c04480

215130064000 has 64 divisors (see below), whose sum is σ = 534867161400. Its totient is φ = 86052019200.

The previous prime is 215130063997. The next prime is 215130064003. The reversal of 215130064000 is 460031512.

It is an interprime number because it is at equal distance from previous prime (215130063997) and next prime (215130064003).

It can be written as a sum of positive squares in 4 ways, for example, as 37039311936 + 178090752064 = 192456^2 + 422008^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (215130064003) by changing a digit.

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, 6706815 + ... + 6738814.

Almost surely, 2215130064000 is an apocalyptic number.

215130064000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215130064000 is an abundant number, since it is smaller than the sum of its proper divisors (319737097400).

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

215130064000 is an equidigital number, since it uses as much as digits as its factorization.

215130064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13445658 (or 13445636 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 215130064000 its reverse (460031512), we get a palindrome (215590095512).

The spelling of 215130064000 in words is "two hundred fifteen billion, one hundred thirty million, sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 13445629 26891258 53782516 67228145 107565032 134456290 215130064 268912580 336140725 430260128 537825160 672281450 860520256 1075650320 1344562900 1680703625 1721040512 2151300640 2689125800 3361407250 4302601280 5378251600 6722814500 8605202560 10756503200 13445629000 21513006400 26891258000 43026012800 53782516000 107565032000 215130064000