Search a number
-
+
1369073664000 = 21436537131
BaseRepresentation
bin10011111011000011001…
…001100100000000000000
311211212211002122011000000
4103323003021210000000
5134412330324222000
62524535504000000
7200624631064110
oct23730311440000
94755732564000
101369073664000
11488691434319
121a1404000000
139c145657083
144a39914b040
152592d056000
hex13ec3264000

1369073664000 has 1680 divisors, whose sum is σ = 5899909631616. Its totient is φ = 310542336000.

The previous prime is 1369073663849. The next prime is 1369073664019. The reversal of 1369073664000 is 4663709631.

1369073664000 is a `hidden beast` number, since 1 + 36 + 90 + 73 + 66 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10450943935 + ... + 10450944065.

Almost surely, 21369073664000 is an apocalyptic number.

1369073664000 is a gapful number since it is divisible by the number (10) 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 1369073664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949954815808).

1369073664000 is an abundant number, since it is smaller than the sum of its proper divisors (4530835967616).

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

1369073664000 is an frugal number, since it uses more digits than its factorization.

1369073664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 1369073664000 in words is "one trillion, three hundred sixty-nine billion, seventy-three million, six hundred sixty-four thousand".