Search a number
-
+
1104555553920 = 27345721323183
BaseRepresentation
bin10000000100101100101…
…001000011010010000000
310220121001101010212220000
4100010230221003102000
5121044112210211140
62203231550520000
7142541626203600
oct20045451032200
93817041125800
101104555553920
113964918a6095
1215a0a1506000
138020b833100
143b664514c00
151daea8b4a30
hex1012ca43480

1104555553920 has 2880 divisors, whose sum is σ = 5190772688640. Its totient is φ = 222814126080.

The previous prime is 1104555553901. The next prime is 1104555553931. The reversal of 1104555553920 is 293555554011.

1104555553920 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 5 + 5 + 5 + 553 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 13307898199 + ... + 13307898281.

It is an arithmetic number, because the mean of its divisors is an integer number (1802351628).

Almost surely, 21104555553920 is an apocalyptic number.

1104555553920 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 1104555553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595386344320).

1104555553920 is an abundant number, since it is smaller than the sum of its proper divisors (4086217134720).

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

1104555553920 is a wasteful number, since it uses less digits than its factorization.

1104555553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 1104555553920 in words is "one trillion, one hundred four billion, five hundred fifty-five million, five hundred fifty-three thousand, nine hundred twenty".