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5214403584 = 210321371613
BaseRepresentation
bin1001101101100110…
…10111110000000000
3111110101211010222200
410312303113300000
541134341403314
62221230433200
7243134461545
oct46663276000
914411733880
105214403584
112236438655
121016362800
136513b9c10
14376752bcc
15207ba8709
hex136cd7c00

5214403584 has 264 divisors, whose sum is σ = 16469867232. Its totient is φ = 1579253760.

The previous prime is 5214403561. The next prime is 5214403589. The reversal of 5214403584 is 4853044125.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5214403589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8506062 + ... + 8506674.

Almost surely, 25214403584 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 5214403584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234933616).

5214403584 is an abundant number, since it is smaller than the sum of its proper divisors (11255463648).

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

5214403584 is a wasteful number, since it uses less digits than its factorization.

5214403584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5214403584 is about 72210.8273321944. The cubic root of 5214403584 is about 1734.0763447028.

The spelling of 5214403584 in words is "five billion, two hundred fourteen million, four hundred three thousand, five hundred eighty-four".