Search a number
-
+
30776204300 = 22525310356377
BaseRepresentation
bin11100101010011001…
…111001110000001100
32221102211212011111112
4130222121321300030
51001012202014200
622045520511152
72136443264102
oct345231716014
987384764445
1030776204300
1112063401896
125b6aa7b4b8
132b96135c9a
1416bd57bc72
15c01d50535
hex72a679c0c

30776204300 has 72 divisors (see below), whose sum is σ = 68706290016. Its totient is φ = 11960732160.

The previous prime is 30776204257. The next prime is 30776204309. The reversal of 30776204300 is 340267703.

It is a super-2 number, since 2×307762043002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30776204309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 517712 + ... + 574088.

It is an arithmetic number, because the mean of its divisors is an integer number (954254028).

Almost surely, 230776204300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30776204300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34353145008).

30776204300 is an abundant number, since it is smaller than the sum of its proper divisors (37930085716).

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

30776204300 is a wasteful number, since it uses less digits than its factorization.

30776204300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56547 (or 56540 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The spelling of 30776204300 in words is "thirty billion, seven hundred seventy-six million, two hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 103 106 206 212 265 412 515 530 1030 1060 1325 2060 2575 2650 5150 5300 5459 10300 10918 21836 27295 54590 56377 109180 112754 136475 225508 272950 281885 545900 563770 1127540 1409425 2818850 2987981 5637700 5806831 5975962 11613662 11951924 14939905 23227324 29034155 29879810 58068310 59759620 74699525 116136620 145170775 149399050 290341550 298798100 307762043 580683100 615524086 1231048172 1538810215 3077620430 6155240860 7694051075 15388102150 30776204300