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20175071232 = 211317419461
BaseRepresentation
bin10010110010100001…
…110010100000000000
31221002000221210211110
4102302201302200000
5312304304234412
613133541443320
71312646163441
oct226241624000
957060853743
1020175071232
118613335698
123ab0710540
131b96a44294
14d956592c8
157d12edd3c
hex4b2872800

20175071232 has 192 divisors, whose sum is σ = 57210753600. Its totient is φ = 6300631040.

The previous prime is 20175071227. The next prime is 20175071233. The reversal of 20175071232 is 23217057102.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 20175071232.

It is not an unprimeable number, because it can be changed into a prime (20175071233) 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 15 ways as a sum of consecutive naturals, for example, 43763482 + ... + 43763942.

It is an arithmetic number, because the mean of its divisors is an integer number (297972675).

Almost surely, 220175071232 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 20175071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28605376800).

20175071232 is an abundant number, since it is smaller than the sum of its proper divisors (37035682368).

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

20175071232 is a wasteful number, since it uses less digits than its factorization.

20175071232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The spelling of 20175071232 in words is "twenty billion, one hundred seventy-five million, seventy-one thousand, two hundred thirty-two".