Search a number
-
+
1116573474240 = 2633572191271093
BaseRepresentation
bin10000001111111000111…
…101110001110111000000
310221202001220222111022000
4100033320331301313000
5121243220302133430
62212540300344000
7143445505635300
oct20177075616700
93852056874260
101116573474240
113a0599687544
12160496245000
13813a5600573
143c084679600
151e0a09c4e60
hex103f8f71dc0

1116573474240 has 1344 divisors, whose sum is σ = 4865719910400. Its totient is φ = 239661047808.

The previous prime is 1116573474227. The next prime is 1116573474241. The reversal of 1116573474240 is 424743756111.

1116573474240 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 573 + 4 + 74 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116573474241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1021567134 + ... + 1021568226.

Almost surely, 21116573474240 is an apocalyptic number.

1116573474240 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 1116573474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432859955200).

1116573474240 is an abundant number, since it is smaller than the sum of its proper divisors (3749146436160).

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

1116573474240 is a wasteful number, since it uses less digits than its factorization.

1116573474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1116573474240 in words is "one trillion, one hundred sixteen billion, five hundred seventy-three million, four hundred seventy-four thousand, two hundred forty".