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6706001016 = 2336112131743
BaseRepresentation
bin1100011111011010…
…10111010001111000
3122022100112011000000
412033231113101320
5102213214013031
63025232513000
7325116032241
oct61755272170
918270464000
106706001016
1129313a9900
1213719ab760
1382b429750
144788a9cc8
15293ae33e6
hex18fb57478

6706001016 has 672 divisors, whose sum is σ = 24177772080. Its totient is φ = 1724405760.

The previous prime is 6706001009. The next prime is 6706001017. The reversal of 6706001016 is 6101006076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6706001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155953491 + ... + 155953533.

Almost surely, 26706001016 is an apocalyptic number.

6706001016 is a gapful number since it is divisible by the number (66) 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 6706001016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12088886040).

6706001016 is an abundant number, since it is smaller than the sum of its proper divisors (17471771064).

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

6706001016 is a wasteful number, since it uses less digits than its factorization.

6706001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6706001016 is about 81890.1765537235. The cubic root of 6706001016 is about 1885.7663057078.

The spelling of 6706001016 in words is "six billion, seven hundred six million, one thousand, sixteen".