Search a number
-
+
3084061483800 = 233352111741163457
BaseRepresentation
bin101100111000010000011…
…000111010001100011000
3101220211111112210002211000
4230320100120322030120
5401012124214440200
610320444232505000
7435546630036243
oct54702030721430
911824445702730
103084061483800
11a89a41340740
12419865b4b160
13194a9723286b
14a93ab22c25a
1555354580300
hex2ce1063a318

3084061483800 has 1536 divisors, whose sum is σ = 12674338790400. Its totient is φ = 680804352000.

The previous prime is 3084061483781. The next prime is 3084061483823. The reversal of 3084061483800 is 83841604803.

3084061483800 is a `hidden beast` number, since 30 + 8 + 4 + 0 + 61 + 483 + 80 + 0 = 666.

It is a super-2 number, since 2×30840614838002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6748493172 + ... + 6748493628.

It is an arithmetic number, because the mean of its divisors is an integer number (8251522650).

Almost surely, 23084061483800 is an apocalyptic number.

3084061483800 is a gapful number since it is divisible by the number (30) 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 3084061483800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337169395200).

3084061483800 is an abundant number, since it is smaller than the sum of its proper divisors (9590277306600).

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

3084061483800 is a wasteful number, since it uses less digits than its factorization.

3084061483800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 3084061483800 in words is "three trillion, eighty-four billion, sixty-one million, four hundred eighty-three thousand, eight hundred".