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20522511240 = 233572111811753
BaseRepresentation
bin10011000111001111…
…001010101110001000
31221222020201120220220
4103013033022232020
5314012230324430
613232232350040
71324365316200
oct230717125610
957866646826
1020522511240
1187814714a0
123b88b45320
131c20a1219a
14dc985b400
15801a7e110
hex4c73cab88

20522511240 has 384 divisors, whose sum is σ = 78606702720. Its totient is φ = 4238438400.

The previous prime is 20522511209. The next prime is 20522511241. The reversal of 20522511240 is 4211522502.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20522511240.

It is not an unprimeable number, because it can be changed into a prime (20522511241) 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 95 ways as a sum of consecutive naturals, for example, 11706204 + ... + 11707956.

It is an arithmetic number, because the mean of its divisors is an integer number (204704955).

Almost surely, 220522511240 is an apocalyptic number.

20522511240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20522511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39303351360).

20522511240 is an abundant number, since it is smaller than the sum of its proper divisors (58084191480).

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

20522511240 is a wasteful number, since it uses less digits than its factorization.

20522511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 20522511240 in words is "twenty billion, five hundred twenty-two million, five hundred eleven thousand, two hundred forty".