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20353750561 = 257641123553
BaseRepresentation
bin10010111101001011…
…011001011000100001
31221112111011122210101
4102331023121120201
5313141030004221
613203403302401
71320246011434
oct227513313041
957474148711
1020353750561
1186a5186061
123b4051aa01
131bc4a74cb1
14db128b81b
157e1d45d91
hex4bd2d9621

20353750561 has 8 divisors (see below), whose sum is σ = 20464990344. Its totient is φ = 20242759680.

The previous prime is 20353750489. The next prime is 20353750567. The reversal of 20353750561 is 16505735302.

20353750561 = 1008802 + 1008812.

It can be written as a sum of positive squares in 4 ways, for example, as 10176774400 + 10176976161 = 100880^2 + 100881^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 4-Lehmer number, since φ(20353750561) divides (20353750561-1)4.

It is a cyclic number.

It is not a de Polignac number, because 20353750561 - 213 = 20353742369 is a prime.

It is a super-3 number, since 3×203537505613 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20353750561.

It is not an unprimeable number, because it can be changed into a prime (20353750567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 102961 + ... + 226513.

It is an arithmetic number, because the mean of its divisors is an integer number (2558123793).

Almost surely, 220353750561 is an apocalyptic number.

20353750561 is the 100881-st centered square number.

It is an amenable number.

20353750561 is a deficient number, since it is larger than the sum of its proper divisors (111239783).

20353750561 is a wasteful number, since it uses less digits than its factorization.

20353750561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124451.

The product of its (nonzero) digits is 94500, while the sum is 37.

The spelling of 20353750561 in words is "twenty billion, three hundred fifty-three million, seven hundred fifty thousand, five hundred sixty-one".

Divisors: 1 257 641 123553 164737 31753121 79197473 20353750561