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20430490752 = 273279726119
BaseRepresentation
bin10011000001110000…
…001000110010000000
31221201211120110112200
4103001300020302000
5313320201201002
613215144153200
71322200206660
oct230160106200
957654513480
1020430490752
118734530101
123b62168800
131c079336a9
14dbb5461a0
157e8953b1c
hex4c1c08c80

20430490752 has 192 divisors, whose sum is σ = 67884835200. Its totient is φ = 5776883712.

The previous prime is 20430490687. The next prime is 20430490757. The reversal of 20430490752 is 25709403402.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20430490757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769149 + ... + 795267.

It is an arithmetic number, because the mean of its divisors is an integer number (353566850).

Almost surely, 220430490752 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 20430490752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33942417600).

20430490752 is an abundant number, since it is smaller than the sum of its proper divisors (47454344448).

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

20430490752 is a wasteful number, since it uses less digits than its factorization.

20430490752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26243 (or 26228 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 20430490752 in words is "twenty billion, four hundred thirty million, four hundred ninety thousand, seven hundred fifty-two".