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5323760640 = 21035511389
BaseRepresentation
bin1001111010101001…
…00010010000000000
3111202000121001200000
410331110202100000
541400340320030
62240134400000
7245633135022
oct47524422000
914660531600
105323760640
112292140190
121046b00000
1366ac58733
1438709c012
152125aa860
hex13d522400

5323760640 has 528 divisors, whose sum is σ = 20922632640. Its totient is φ = 1287290880.

The previous prime is 5323760633. The next prime is 5323760657. The reversal of 5323760640 is 460673235.

5323760640 is a `hidden beast` number, since 5 + 3 + 2 + 3 + 7 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is a junction number, because it is equal to n+sod(n) for n = 5323760595 and 5323760604.

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 47 ways as a sum of consecutive naturals, for example, 13685566 + ... + 13685954.

Almost surely, 25323760640 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 5323760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10461316320).

5323760640 is an abundant number, since it is smaller than the sum of its proper divisors (15598872000).

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

5323760640 is a wasteful number, since it uses less digits than its factorization.

5323760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 5323760640 is about 72964.1051476683. The cubic root of 5323760640 is about 1746.1149887070.

The spelling of 5323760640 in words is "five billion, three hundred twenty-three million, seven hundred sixty thousand, six hundred forty".