Search a number
-
+
5421265920 = 21032576
BaseRepresentation
bin1010000110010000…
…11111010000000000
3111222211001211202200
411003020133100000
542100321002140
62253540313200
7251226000000
oct50310372000
914884054680
105421265920
112332188364
1210736a2800
13685207875
14396000000
1521ae1b030
hex14321f400

5421265920 has 462 divisors, whose sum is σ = 21915276162. Its totient is φ = 1239146496.

The previous prime is 5421265909. The next prime is 5421265933. The reversal of 5421265920 is 295621245.

5421265920 is a `hidden beast` number, since 5 + 42 + 1 + 26 + 592 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4337012736 + 1084253184 = 65856^2 + 32928^2 .

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

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 41 ways as a sum of consecutive naturals, for example, 774466557 + ... + 774466563.

Almost surely, 25421265920 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 5421265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957638081).

5421265920 is an abundant number, since it is smaller than the sum of its proper divisors (16494010242).

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

5421265920 is an frugal number, since it uses more digits than its factorization.

5421265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5421265920 is about 73629.2463631131. The cubic root of 5421265920 is about 1756.7106606504.

The spelling of 5421265920 in words is "five billion, four hundred twenty-one million, two hundred sixty-five thousand, nine hundred twenty".