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20309574012 = 223713194759353
BaseRepresentation
bin10010111010100010…
…111000000101111100
31221102102001020221220
4102322202320011330
5313043222332022
613155144353340
71316201350020
oct227242700574
957372036856
1020309574012
118682252612
123b29775850
131bb8878420
14da946c380
157dd01b85c
hex4ba8b817c

20309574012 has 384 divisors, whose sum is σ = 63944294400. Its totient is φ = 4868481024.

The previous prime is 20309574001. The next prime is 20309574013. The reversal of 20309574012 is 21047590302.

It is a super-2 number, since 2×203095740122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20309574013) 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 127 ways as a sum of consecutive naturals, for example, 57534028 + ... + 57534380.

It is an arithmetic number, because the mean of its divisors is an integer number (166521600).

Almost surely, 220309574012 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 20309574012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31972147200).

20309574012 is an abundant number, since it is smaller than the sum of its proper divisors (43634720388).

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

20309574012 is a wasteful number, since it uses less digits than its factorization.

20309574012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 20309574012 in words is "twenty billion, three hundred nine million, five hundred seventy-four thousand, twelve".