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5693253120 = 293251092267
BaseRepresentation
bin1010100110101100…
…00010011000000000
3112200202212020001200
411103112002120000
543124433044440
62340534101200
7261040565412
oct52326023000
915622766050
105693253120
112461769375
12112a7aa800
136c9678039
143c01a09b2
15234c44c30
hex153582600

5693253120 has 240 divisors, whose sum is σ = 19907007120. Its totient is φ = 1503608832.

The previous prime is 5693253101. The next prime is 5693253121. The reversal of 5693253120 is 213523965.

5693253120 is a `hidden beast` number, since 569 + 32 + 53 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (5693253121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2510227 + ... + 2512493.

It is an arithmetic number, because the mean of its divisors is an integer number (82945863).

Almost surely, 25693253120 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 5693253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953503560).

5693253120 is an abundant number, since it is smaller than the sum of its proper divisors (14213754000).

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

5693253120 is a wasteful number, since it uses less digits than its factorization.

5693253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 5693253120 is about 75453.6488183308. The cubic root of 5693253120 is about 1785.6109106359.

The spelling of 5693253120 in words is "five billion, six hundred ninety-three million, two hundred fifty-three thousand, one hundred twenty".