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5231874960 = 24325132193173
BaseRepresentation
bin1001101111101100…
…00001001110010000
3111111121200210012200
410313312001032100
541203324444320
62223053123200
7243436126524
oct46766011620
914447623180
105231874960
112245291104
121020189500
13654bc6400
14378bbdd84
152094aa290
hex137d81390

5231874960 has 720 divisors, whose sum is σ = 20956515840. Its totient is φ = 1164533760.

The previous prime is 5231874943. The next prime is 5231874961. The reversal of 5231874960 is 694781325.

5231874960 is a `hidden beast` number, since 52 + 31 + 87 + 496 + 0 = 666.

5231874960 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

5231874960 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (5231874961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71669484 + ... + 71669556.

It is an arithmetic number, because the mean of its divisors is an integer number (29106272).

It is a 1-persistent number, because it is pandigital, but 2⋅5231874960 = 10463749920 is not.

Almost surely, 25231874960 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 5231874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478257920).

5231874960 is an abundant number, since it is smaller than the sum of its proper divisors (15724640880).

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

5231874960 is a wasteful number, since it uses less digits than its factorization.

5231874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5231874960 is about 72331.7009339612. The cubic root of 5231874960 is about 1736.0109172015.

The spelling of 5231874960 in words is "five billion, two hundred thirty-one million, eight hundred seventy-four thousand, nine hundred sixty".