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561353434513753 = 7219231734605377
BaseRepresentation
bin111111110100011000100100…
…0000011101100000101011001
32201121120212100000210011101211
41333220301020003230011121
51042034203313213420003
65305522112510543121
7226145306261563300
oct17750611003540531
92647525300704354
10561353434513753
11152956722369132
1252b62081507aa1
131b12c52b7c778b
149c89918c61437
1544d715753e96d
hex1fe8c480ec159

561353434513753 has 18 divisors (see below), whose sum is σ = 689180424994026. Its totient is φ = 455835871620864.

The previous prime is 561353434513637. The next prime is 561353434513759. The reversal of 561353434513753 is 357315434353165.

It can be written as a sum of positive squares in only one way, i.e., 476134743942144 + 85218690571609 = 21820512^2 + 9231397^2 .

It is not a de Polignac number, because 561353434513753 - 29 = 561353434513241 is a prime.

It is a super-2 number, since 2×5613534345137532 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (561353434513759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15867285000 + ... + 15867320377.

It is an arithmetic number, because the mean of its divisors is an integer number (38287801388557).

Almost surely, 2561353434513753 is an apocalyptic number.

It is an amenable number.

561353434513753 is a deficient number, since it is larger than the sum of its proper divisors (127826990480273).

561353434513753 is a wasteful number, since it uses less digits than its factorization.

561353434513753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31734605429 (or 31734605403 counting only the distinct ones).

The product of its digits is 102060000, while the sum is 58.

The spelling of 561353434513753 in words is "five hundred sixty-one trillion, three hundred fifty-three billion, four hundred thirty-four million, five hundred thirteen thousand, seven hundred fifty-three".

Divisors: 1 7 19 49 133 361 931 2527 17689 31734605377 222142237639 602957502163 1554995663473 4220702515141 11456192541097 29544917605987 80193347787679 561353434513753