Search a number
-
+
307094116608 = 28327110118587
BaseRepresentation
bin1000111100000000011…
…11000101100100000000
31002100122220202111020200
410132000033011210000
520012412043212413
6353024352405200
731121035631136
oct4360017054400
91070586674220
10307094116608
11109268694094
124b625246800
1322c60798446
1410c1339b756
157ec53b9573
hex47803c5900

307094116608 has 216 divisors, whose sum is σ = 906837736896. Its totient is φ = 99918336000.

The previous prime is 307094116597. The next prime is 307094116627. The reversal of 307094116608 is 806611490703.

It is a happy number.

307094116608 is a `hidden beast` number, since 30 + 7 + 0 + 9 + 4 + 1 + 1 + 6 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16512691 + ... + 16531277.

It is an arithmetic number, because the mean of its divisors is an integer number (4198322856).

Almost surely, 2307094116608 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 307094116608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453418868448).

307094116608 is an abundant number, since it is smaller than the sum of its proper divisors (599743620288).

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

307094116608 is a wasteful number, since it uses less digits than its factorization.

307094116608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 307094116608 in words is "three hundred seven billion, ninety-four million, one hundred sixteen thousand, six hundred eight".