Search a number
-
+
832788030000 = 2435431895471
BaseRepresentation
bin11000001111001100000…
…10001110001000110000
32221121120102121020112010
430013212002032020300
5102121022213430000
61434324425402520
7114111156313143
oct14074602161060
92847512536463
10832788030000
112a120214aa53
12115497039440
13606bab3a564
142c442b9a05a
15169e1a8dd50
hexc1e608e230

832788030000 has 200 divisors, whose sum is σ = 2775074891776. Its totient is φ = 214912800000.

The previous prime is 832788029981. The next prime is 832788030013. The reversal of 832788030000 is 30887238.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×8327880300002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 482265 + ... + 1377735.

Almost surely, 2832788030000 is an apocalyptic number.

832788030000 is a gapful number since it is divisible by the number (80) 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 832788030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387537445888).

832788030000 is an abundant number, since it is smaller than the sum of its proper divisors (1942286861776).

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

832788030000 is a wasteful number, since it uses less digits than its factorization.

832788030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895533 (or 895512 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 832788030000 in words is "eight hundred thirty-two billion, seven hundred eighty-eight million, thirty thousand".