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6850155312 = 24337211133173
BaseRepresentation
bin1100110000100110…
…10001001100110000
3122200101202221112000
412120103101030300
5103012114432222
63051422334000
7331516234200
oct63023211460
918611687460
106850155312
1129a5809090
1213b212a300
1385225c950
1448dab2400
152a15ba9ac
hex1984d1330

6850155312 has 960 divisors, whose sum is σ = 28118200320. Its totient is φ = 1567641600.

The previous prime is 6850155283. The next prime is 6850155313. The reversal of 6850155312 is 2135510586.

It is a happy number.

6850155312 is a `hidden beast` number, since 68 + 50 + 15 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6850155313) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 93837708 + ... + 93837780.

It is an arithmetic number, because the mean of its divisors is an integer number (29289792).

Almost surely, 26850155312 is an apocalyptic number.

6850155312 is a gapful number since it is divisible by the number (62) 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 6850155312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059100160).

6850155312 is an abundant number, since it is smaller than the sum of its proper divisors (21268045008).

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

6850155312 is a wasteful number, since it uses less digits than its factorization.

6850155312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 6850155312 is about 82765.6650550215. The cubic root of 6850155312 is about 1899.1829646841.

Adding to 6850155312 its reverse (2135510586), we get a palindrome (8985665898).

The spelling of 6850155312 in words is "six billion, eight hundred fifty million, one hundred fifty-five thousand, three hundred twelve".