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20368485504 = 27354713933
BaseRepresentation
bin10010111110000011…
…100110110010000000
31221120111220021100000
4102332003212302000
5313203313014004
613205051200000
71320515161443
oct227603466200
957514807300
1020368485504
11870252a6a4
123b45446000
131bc7b33ab3
14db320565a
157e32a6c39
hex4be0e6c80

20368485504 has 192 divisors, whose sum is σ = 62080986240. Its totient is φ = 6644560896.

The previous prime is 20368485503. The next prime is 20368485509. The reversal of 20368485504 is 40558486302.

20368485504 is a `hidden beast` number, since 2 + 0 + 3 + 68 + 4 + 85 + 504 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20368485504.

It is not an unprimeable number, because it can be changed into a prime (20368485503) 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, 1454922 + ... + 1468854.

It is an arithmetic number, because the mean of its divisors is an integer number (323338470).

Almost surely, 220368485504 is an apocalyptic number.

20368485504 is a gapful number since it is divisible by the number (24) 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 20368485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31040493120).

20368485504 is an abundant number, since it is smaller than the sum of its proper divisors (41712500736).

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

20368485504 is an equidigital number, since it uses as much as digits as its factorization.

20368485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009 (or 13985 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 20368485504 in words is "twenty billion, three hundred sixty-eight million, four hundred eighty-five thousand, five hundred four".