Search a number
-
+
6706507104 = 253411415737
BaseRepresentation
bin1100011111011110…
…10010110101100000
3122022101110212020000
412033233102311200
5102213331211404
63025251420000
7325123240563
oct61757226540
918271425200
106706507104
112931715060
121371bb4600
1382b575bcb
1447899c4da
15293b93339
hex18fbd2d60

6706507104 has 240 divisors, whose sum is σ = 22045350096. Its totient is φ = 1982361600.

The previous prime is 6706507097. The next prime is 6706507117. The reversal of 6706507104 is 4017056076.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1166124 + ... + 1171860.

Almost surely, 26706507104 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 6706507104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022675048).

6706507104 is an abundant number, since it is smaller than the sum of its proper divisors (15338842992).

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

6706507104 is a wasteful number, since it uses less digits than its factorization.

6706507104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5794 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6706507104 is about 81893.2665363887. The cubic root of 6706507104 is about 1885.8137428063.

The spelling of 6706507104 in words is "six billion, seven hundred six million, five hundred seven thousand, one hundred four".