Search a number
-
+
1196163072000 = 2213353132
BaseRepresentation
bin10001011010000000111…
…000000000000000000000
311020100111122211222021000
4101122000320000000000
5124044220221301000
62313302033532000
7152264015232021
oct21320070000000
94210448758230
101196163072000
11421320963316
121739a8714000
1388a4a6c1100
1441c74b02c48
15211ace28000
hex11680e00000

1196163072000 has 1056 divisors, whose sum is σ = 4789558481760. Its totient is φ = 294440140800.

The previous prime is 1196163071977. The next prime is 1196163072073. The reversal of 1196163072000 is 2703616911.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1196163072000 is a `hidden beast` number, since 1 + 1 + 9 + 616 + 30 + 7 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92012543994 + ... + 92012544006.

Almost surely, 21196163072000 is an apocalyptic number.

1196163072000 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 1196163072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2394779240880).

1196163072000 is an abundant number, since it is smaller than the sum of its proper divisors (3593395409760).

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

1196163072000 is an frugal number, since it uses more digits than its factorization.

1196163072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

Adding to 1196163072000 its reverse (2703616911), we get a palindrome (1198866688911).

The spelling of 1196163072000 in words is "one trillion, one hundred ninety-six billion, one hundred sixty-three million, seventy-two thousand".