Search a number
-
+
1081830817920 = 27353183218987
BaseRepresentation
bin11111011111000100010…
…01000100000010000000
310211102101122112200112010
433233202021010002000
5120211042142133140
62144553004532520
7141105530141136
oct17574211040200
93742348480463
101081830817920
11387890325636
121557bab51140
137b0297c0a68
143a50a3db756
151d21a829880
hexfbe2244080

1081830817920 has 256 divisors, whose sum is σ = 3602475233280. Its totient is φ = 275817246720.

The previous prime is 1081830817913. The next prime is 1081830817931. The reversal of 1081830817920 is 297180381801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1081830817920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4830667 + ... + 5049653.

It is an arithmetic number, because the mean of its divisors is an integer number (14072168880).

Almost surely, 21081830817920 is an apocalyptic number.

1081830817920 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 1081830817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801237616640).

1081830817920 is an abundant number, since it is smaller than the sum of its proper divisors (2520644415360).

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

1081830817920 is a wasteful number, since it uses less digits than its factorization.

1081830817920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219123 (or 219111 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 48.

The spelling of 1081830817920 in words is "one trillion, eighty-one billion, eight hundred thirty million, eight hundred seventeen thousand, nine hundred twenty".