Search a number
-
+
5275011456 = 2732112134171
BaseRepresentation
bin1001110100110101…
…00100100110000000
3111121121212100100200
410322122210212000
541300400331311
62231233445200
7244501600101
oct47232444600
914547770320
105275011456
112267674200
121032710800
13660b1a770
1438080c3a8
1520d17b556
hex13a6a4980

5275011456 has 576 divisors, whose sum is σ = 18665730720. Its totient is φ = 1419264000.

The previous prime is 5275011433. The next prime is 5275011473. The reversal of 5275011456 is 6541105725.

5275011456 is a `hidden beast` number, since 5 + 2 + 7 + 501 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5275011456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74295901 + ... + 74295971.

Almost surely, 25275011456 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 5275011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9332865360).

5275011456 is an abundant number, since it is smaller than the sum of its proper divisors (13390719264).

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

5275011456 is a wasteful number, since it uses less digits than its factorization.

5275011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5275011456 is about 72629.2740979834. The cubic root of 5275011456 is about 1740.7689664982.

The spelling of 5275011456 in words is "five billion, two hundred seventy-five million, eleven thousand, four hundred fifty-six".