Search a number
-
+
12015451151329 = 232834633986987
BaseRepresentation
bin1010111011011001000010…
…1100101001101111100001
31120112122222110010220202111
42232312100230221233201
53033330120443320304
641315453321515321
72350042036434643
oct256662054515741
946478873126674
1012015451151329
1139127a6a2955a
121420812342b41
1369208a849692
142d779dac0893
1515c83964e704
hexaed90b29be1

12015451151329 has 16 divisors (see below), whose sum is σ = 12609343936512. Its totient is φ = 11427690648528.

The previous prime is 12015451151273. The next prime is 12015451151351. The reversal of 12015451151329 is 92315115451021.

It is a cyclic number.

It is not a de Polignac number, because 12015451151329 - 27 = 12015451151201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12015451151291 and 12015451151300.

It is not an unprimeable number, because it can be changed into a prime (12015451151399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1020174 + ... + 5007160.

It is an arithmetic number, because the mean of its divisors is an integer number (788083996032).

Almost surely, 212015451151329 is an apocalyptic number.

It is an amenable number.

12015451151329 is a deficient number, since it is larger than the sum of its proper divisors (593892785183).

12015451151329 is a wasteful number, since it uses less digits than its factorization.

12015451151329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987756.

The product of its (nonzero) digits is 54000, while the sum is 40.

The spelling of 12015451151329 in words is "twelve trillion, fifteen billion, four hundred fifty-one million, one hundred fifty-one thousand, three hundred twenty-nine".

Divisors: 1 23 283 463 6509 10649 131029 3013667 3986987 91700701 1128317321 1845974981 25951298383 42457424563 522410919623 12015451151329