Search a number
-
+
12066675058944 = 2836112172432
BaseRepresentation
bin1010111110010111110111…
…1000010110100100000000
31120201120012022222001000000
42233211331320112210000
53040200022303341234
641355204244000000
72353534312451322
oct257457570264400
946646168861000
1012066675058944
1139324a2547500
12142a729090000
13696b6203179c
142da05cba5612
1515dd366a3899
hexaf97de16900

12066675058944 has 1701 divisors, whose sum is σ = 43169964596409. Its totient is φ = 3361441628160.

The previous prime is 12066675058903. The next prime is 12066675058979. The reversal of 12066675058944 is 44985057666021.

The square root of 12066675058944 is 3473712.

It is a perfect power (a square), and thus also a powerful number.

12066675058944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9394470201600 + 2672204857344 = 3065040^2 + 1634688^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 280620350187 + ... + 280620350229.

Almost surely, 212066675058944 is an apocalyptic number.

12066675058944 is the 3473712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12066675058944

12066675058944 is an abundant number, since it is smaller than the sum of its proper divisors (31103289537465).

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

12066675058944 is an frugal number, since it uses more digits than its factorization.

12066675058944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 12066675058944 in words is "twelve trillion, sixty-six billion, six hundred seventy-five million, fifty-eight thousand, nine hundred forty-four".