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1056144416501 = 4528923320109
BaseRepresentation
bin11110101111001110001…
…11001101111011110101
310201222002112001021222102
433113213013031323311
5114300440432312001
62125104104111445
7136206146263346
oct17274707157365
93658075037872
101056144416501
113779a9a98009
12150830765585
1378794cc9975
1439190c1a0cd
151c71576de6b
hexf5e71cdef5

1056144416501 has 4 divisors (see below), whose sum is σ = 1056167781900. Its totient is φ = 1056121051104.

The previous prime is 1056144416461. The next prime is 1056144416513.

1056144416501 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 503285249476 + 552859167025 = 709426^2 + 743545^2 .

It is a cyclic number.

It is not a de Polignac number, because 1056144416501 - 230 = 1055070674677 is a prime.

It is a super-3 number, since 3×10561444165013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056144416531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11614766 + ... + 11705343.

It is an arithmetic number, because the mean of its divisors is an integer number (264041945475).

Almost surely, 21056144416501 is an apocalyptic number.

It is an amenable number.

1056144416501 is a deficient number, since it is larger than the sum of its proper divisors (23365399).

1056144416501 is an equidigital number, since it uses as much as digits as its factorization.

1056144416501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23365398.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 1056144416501 in words is "one trillion, fifty-six billion, one hundred forty-four million, four hundred sixteen thousand, five hundred one".

Divisors: 1 45289 23320109 1056144416501