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5972162560 = 211571321729
BaseRepresentation
bin1011000111111011…
…11111100000000000
3120102012200021212221
411203331333200000
544212333200220
62424340100424
7300665354440
oct54375774000
916365607787
105972162560
112595148141
1211a8094714
137423a0200
14409244120
1524e4899aa
hex163f7f800

5972162560 has 576 divisors, whose sum is σ = 19424059200. Its totient is φ = 1717567488.

The previous prime is 5972162557. The next prime is 5972162569. The reversal of 5972162560 is 652612795.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972162569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205936626 + ... + 205936654.

It is an arithmetic number, because the mean of its divisors is an integer number (33722325).

Almost surely, 25972162560 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 5972162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712029600).

5972162560 is an abundant number, since it is smaller than the sum of its proper divisors (13451896640).

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

5972162560 is a wasteful number, since it uses less digits than its factorization.

5972162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 5972162560 is about 77279.7681155941. The cubic root of 5972162560 is about 1814.3060141038.

The spelling of 5972162560 in words is "five billion, nine hundred seventy-two million, one hundred sixty-two thousand, five hundred sixty".