Search a number
-
+
6470940000 = 25354723171
BaseRepresentation
bin1100000011011001…
…01011010101100000
3121200222012210220110
412001230223111200
5101223030040000
62550034411320
7316233040200
oct60154532540
917628183813
106470940000
112820749aa8
121307130b40
137c18179a5
1445559c400
1527d160850
hex181b2b560

6470940000 has 720 divisors, whose sum is σ = 25846926336. Its totient is φ = 1411200000.

The previous prime is 6470939987. The next prime is 6470940001. The reversal of 6470940000 is 490746.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6470940000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6470940001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 91139965 + ... + 91140035.

Almost surely, 26470940000 is an apocalyptic number.

6470940000 is a gapful number since it is divisible by the number (60) 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 6470940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923463168).

6470940000 is an abundant number, since it is smaller than the sum of its proper divisors (19375986336).

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

6470940000 is a wasteful number, since it uses less digits than its factorization.

6470940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6470940000 is about 80442.1531288167. The cubic root of 6470940000 is about 1863.4702240444.

The spelling of 6470940000 in words is "six billion, four hundred seventy million, nine hundred forty thousand".