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20523545440 = 2551272713727
BaseRepresentation
bin10011000111010011…
…000111001101100000
31221222022200010120121
4103013103013031200
5314013011423230
613232310450024
71324410154306
oct230723071540
957868603517
1020523545440
118782008502
123b89363914
131c20cb4b38
14dc9a4a276
15801bd577a
hex4c74c7360

20523545440 has 96 divisors (see below), whose sum is σ = 49062150144. Its totient is φ = 8112545280.

The previous prime is 20523545423. The next prime is 20523545453. The reversal of 20523545440 is 4454532502.

It is a junction number, because it is equal to n+sod(n) for n = 20523545396 and 20523545405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5504857 + ... + 5508583.

It is an arithmetic number, because the mean of its divisors is an integer number (511064064).

Almost surely, 220523545440 is an apocalyptic number.

20523545440 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 20523545440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24531075072).

20523545440 is an abundant number, since it is smaller than the sum of its proper divisors (28538604704).

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

20523545440 is a wasteful number, since it uses less digits than its factorization.

20523545440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 20523545440 in words is "twenty billion, five hundred twenty-three million, five hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 271 508 542 635 1016 1084 1270 1355 2032 2168 2540 2710 3727 4064 4336 5080 5420 7454 8672 10160 10840 14908 18635 20320 21680 29816 34417 37270 43360 59632 68834 74540 119264 137668 149080 172085 275336 298160 344170 473329 550672 596320 688340 946658 1010017 1101344 1376680 1893316 2020034 2366645 2753360 3786632 4040068 4733290 5050085 5506720 7573264 8080136 9466580 10100170 15146528 16160272 18933160 20200340 32320544 37866320 40400680 75732640 80801360 128272159 161602720 256544318 513088636 641360795 1026177272 1282721590 2052354544 2565443180 4104709088 5130886360 10261772720 20523545440