Search a number
-
+
4714673376 = 25372171929107
BaseRepresentation
bin1000110010000010…
…00011010011100000
3110011120111020000110
410121001003103200
534123424022001
62055455451320
7224556030300
oct43101032340
913146436013
104714673376
111aaa345986
12ab6b26b40
135a19ca87a
1432a22b600
151c8d953d6
hex1190434e0

4714673376 has 576 divisors, whose sum is σ = 16754169600. Its totient is φ = 1148829696.

The previous prime is 4714673321. The next prime is 4714673389. The reversal of 4714673376 is 6733764174.

It is a super-3 number, since 3×47146733763 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44062315 + ... + 44062421.

It is an arithmetic number, because the mean of its divisors is an integer number (29087100).

Almost surely, 24714673376 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 4714673376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377084800).

4714673376 is an abundant number, since it is smaller than the sum of its proper divisors (12039496224).

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

4714673376 is a wasteful number, since it uses less digits than its factorization.

4714673376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 48.

The square root of 4714673376 is about 68663.4792011008. The cubic root of 4714673376 is about 1676.8100579625.

The spelling of 4714673376 in words is "four billion, seven hundred fourteen million, six hundred seventy-three thousand, three hundred seventy-six".