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5413804032 = 211371323421
BaseRepresentation
bin1010000101011000…
…00001100000000000
3111222022000201222110
411002230001200000
542041413212112
62253112335320
7251105401140
oct50254014000
914868021873
105413804032
112328a5110a
1210710a4540
136837c4350
1439501a920
1521a44513c
hex142b01800

5413804032 has 384 divisors, whose sum is σ = 18580423680. Its totient is φ = 1362493440.

The previous prime is 5413804021. The next prime is 5413804079. The reversal of 5413804032 is 2304083145.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12859182 + ... + 12859602.

It is an arithmetic number, because the mean of its divisors is an integer number (48386520).

Almost surely, 25413804032 is an apocalyptic number.

5413804032 is a gapful number since it is divisible by the number (52) 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 5413804032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9290211840).

5413804032 is an abundant number, since it is smaller than the sum of its proper divisors (13166619648).

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

5413804032 is a wasteful number, since it uses less digits than its factorization.

5413804032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5413804032 is about 73578.5568763074. The cubic root of 5413804032 is about 1755.9043055072.

Adding to 5413804032 its reverse (2304083145), we get a palindrome (7717887177).

The spelling of 5413804032 in words is "five billion, four hundred thirteen million, eight hundred four thousand, thirty-two".