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20524544040 = 2335711131719232
BaseRepresentation
bin10011000111010110…
…111011000000101000
31221222101112212101210
4103013112323000220
5314013240402130
613232344113120
71324421513550
oct230726730050
957871485353
1020524544040
11878262a7a0
123b897657a0
131c21274520
14dc9c2a160
15801d315b0
hex4c75bb028

20524544040 has 1536 divisors, whose sum is σ = 96322867200. Its totient is φ = 3357573120.

The previous prime is 20524544039. The next prime is 20524544087. The reversal of 20524544040 is 4044542502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20524543989 and 20524544007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 892371469 + ... + 892371491.

It is an arithmetic number, because the mean of its divisors is an integer number (62710200).

Almost surely, 220524544040 is an apocalyptic number.

20524544040 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 20524544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48161433600).

20524544040 is an abundant number, since it is smaller than the sum of its proper divisors (75798323160).

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

20524544040 is a wasteful number, since it uses less digits than its factorization.

20524544040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 20524544040 in words is "twenty billion, five hundred twenty-four million, five hundred forty-four thousand, forty".