Search a number
-
+
495262944000000 = 21133561131412
BaseRepresentation
bin111000010011100000110001…
…1110110001111100000000000
32101221120200020002222201001000
41300213001203312033200000
51004403342002131000000
64513200353331412000
7206214365306342511
oct16047014366174000
92357520202881030
10495262944000000
11133895920456320
1247669339a54000
1318347131283c07
148a42bd6634a08
153c3cdd4585000
hex1c27063d8f800

495262944000000 has 4032 divisors, whose sum is σ = 2116678406169600. Its totient is φ = 113356800000000.

The previous prime is 495262943999921. The next prime is 495262944000047. The reversal of 495262944000000 is 449262594.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 495262944000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12079583999980 + ... + 12079584000020.

It is an arithmetic number, because the mean of its divisors is an integer number (524969842800).

Almost surely, 2495262944000000 is an apocalyptic number.

495262944000000 is a gapful number since it is divisible by the number (40) 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 495262944000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058339203084800).

495262944000000 is an abundant number, since it is smaller than the sum of its proper divisors (1621415462169600).

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

495262944000000 is an frugal number, since it uses more digits than its factorization.

495262944000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 495262944000000 in words is "four hundred ninety-five trillion, two hundred sixty-two billion, nine hundred forty-four million", and thus it is an aban number.