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5723149824 = 2933731771
BaseRepresentation
bin1010101010010000…
…00101011000000000
3112202212010010122000
411111020011120000
543210111243244
62343522544000
7261552654000
oct52510053000
915685103560
105723149824
112477629197
121138808000
13702914cb2
143c4144000
1523769d169
hex155205600

5723149824 has 640 divisors, whose sum is σ = 21212928000. Its totient is φ = 1517322240.

The previous prime is 5723149819. The next prime is 5723149871. The reversal of 5723149824 is 4289413275.

5723149824 is a `hidden beast` number, since 572 + 31 + 49 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5723149824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80607709 + ... + 80607779.

It is an arithmetic number, because the mean of its divisors is an integer number (33145200).

Almost surely, 25723149824 is an apocalyptic number.

5723149824 is a gapful number since it is divisible by the number (54) 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 5723149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464000).

5723149824 is an abundant number, since it is smaller than the sum of its proper divisors (15489778176).

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

5723149824 is an equidigital number, since it uses as much as digits as its factorization.

5723149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 5723149824 is about 75651.5024569902. The cubic root of 5723149824 is about 1788.7310194928.

The spelling of 5723149824 in words is "five billion, seven hundred twenty-three million, one hundred forty-nine thousand, eight hundred twenty-four".