Search a number
-
+
6413472360 = 23325174324371
BaseRepresentation
bin1011111100100010…
…11101001001101000
3121112222002011010100
411332101131021220
5101113322103420
62540222545400
7314634421101
oct57621351150
917488064110
106413472360
1127a1268789
1212aba38260
137b2946579
1444babd3a8
152780ad190
hex17e45d268

6413472360 has 192 divisors, whose sum is σ = 22584070080. Its totient is φ = 1572157440.

The previous prime is 6413472347. The next prime is 6413472361. The reversal of 6413472360 is 632743146.

It is a happy number.

6413472360 is a `hidden beast` number, since 6 + 413 + 4 + 7 + 236 + 0 = 666.

It is a super-2 number, since 2×64134723602 = 82265255424967939200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6413472361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250975 + ... + 275345.

It is an arithmetic number, because the mean of its divisors is an integer number (117625365).

Almost surely, 26413472360 is an apocalyptic number.

6413472360 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 6413472360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11292035040).

6413472360 is an abundant number, since it is smaller than the sum of its proper divisors (16170597720).

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

6413472360 is a wasteful number, since it uses less digits than its factorization.

6413472360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24448 (or 24441 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6413472360 is about 80084.1579839608. The cubic root of 6413472360 is about 1857.9373944530.

The spelling of 6413472360 in words is "six billion, four hundred thirteen million, four hundred seventy-two thousand, three hundred sixty".