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20352538080 = 25325722312541
BaseRepresentation
bin10010111101000110…
…110001010111100000
31221112101220001120200
4102331012301113200
5313140222204310
613203321305200
71320232501500
oct227506612740
957471801520
1020352538080
1186a4528106
123b40035200
131bc473c154
14db1053a00
157e1ba69c0
hex4bd1b15e0

20352538080 has 432 divisors, whose sum is σ = 84311738784. Its totient is φ = 4449392640.

The previous prime is 20352538079. The next prime is 20352538147. The reversal of 20352538080 is 8083525302.

20352538080 is a `hidden beast` number, since 20 + 3 + 525 + 38 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1616610 + ... + 1629150.

It is an arithmetic number, because the mean of its divisors is an integer number (195166062).

Almost surely, 220352538080 is an apocalyptic number.

20352538080 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 20352538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42155869392).

20352538080 is an abundant number, since it is smaller than the sum of its proper divisors (63959200704).

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

20352538080 is a wasteful number, since it uses less digits than its factorization.

20352538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12599 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 20352538080 in words is "twenty billion, three hundred fifty-two million, five hundred thirty-eight thousand, eighty".