Search a number
-
+
6195409920 = 210325719207
BaseRepresentation
bin1011100010100011…
…00111010000000000
3120222202202102200200
411301101213100000
5100142011104140
62502433045200
7306346054410
oct56121472000
916882672620
106195409920
11269a169197
12124a9b6800
13779706a3b
1442ab58640
15263d87030
hex171467400

6195409920 has 264 divisors, whose sum is σ = 24534916224. Its totient is φ = 1416019968.

The previous prime is 6195409901. The next prime is 6195409939. The reversal of 6195409920 is 299045916.

6195409920 is a `hidden beast` number, since 6 + 19 + 540 + 9 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6195409901) and next prime (6195409939).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312957 + ... + 332163.

Almost surely, 26195409920 is an apocalyptic number.

6195409920 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 6195409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12267458112).

6195409920 is an abundant number, since it is smaller than the sum of its proper divisors (18339506304).

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

6195409920 is a wasteful number, since it uses less digits than its factorization.

6195409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19245 (or 19224 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 6195409920 is about 78710.9263063267. The cubic root of 6195409920 is about 1836.6370836496.

The spelling of 6195409920 in words is "six billion, one hundred ninety-five million, four hundred nine thousand, nine hundred twenty".