Search a number
-
+
1104378205392 = 243471123347497
BaseRepresentation
bin10000000100100010000…
…100100001010011010000
310220120121000102122110000
4100010202010201103100
5121043231310033032
62203202213410000
7142534343600520
oct20044204412320
93816530378400
101104378205392
11396400784560
1215a052039900
13801b0b7a057
143b648b4b680
151dada031e7c
hex101221214d0

1104378205392 has 400 divisors, whose sum is σ = 4002298515072. Its totient is φ = 285614346240.

The previous prime is 1104378205379. The next prime is 1104378205423. The reversal of 1104378205392 is 2935028734011.

It is a happy number.

1104378205392 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 37 + 82 + 0 + 539 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23227788 + ... + 23275284.

Almost surely, 21104378205392 is an apocalyptic number.

1104378205392 is a gapful number since it is divisible by the number (12) 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 1104378205392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001149257536).

1104378205392 is an abundant number, since it is smaller than the sum of its proper divisors (2897920309680).

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

1104378205392 is a wasteful number, since it uses less digits than its factorization.

1104378205392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47768 (or 47753 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1104378205392 in words is "one trillion, one hundred four billion, three hundred seventy-eight million, two hundred five thousand, three hundred ninety-two".