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610016206136401 = 3718757878974489
BaseRepresentation
bin1000101010110011100111011…
…1010001100010010001010001
32221222212222110020211110022201
42022230321313101202101101
51114424001142232331101
610001221324255203201
7242330134154540521
oct21254716721422121
92858788406743281
10610016206136401
11167408469302119
1258501289216501
132024c38734376c
14aa8cd2886b681
154a7cdc4c73e01
hex22ace77462451

610016206136401 has 8 divisors (see below), whose sum is σ = 626536532369960. Its totient is φ = 593497637889408.

The previous prime is 610016206136371. The next prime is 610016206136431. The reversal of 610016206136401 is 104631602610016.

It is an interprime number because it is at equal distance from previous prime (610016206136371) and next prime (610016206136431).

It can be written as a sum of positive squares in 4 ways, for example, as 454021701606225 + 155994504530176 = 21307785^2 + 12489776^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 610016206136401 - 217 = 610016206005329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (610016206136431) 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 7 ways as a sum of consecutive naturals, for example, 438793236 + ... + 440181253.

It is an arithmetic number, because the mean of its divisors is an integer number (78317066546245).

Almost surely, 2610016206136401 is an apocalyptic number.

It is an amenable number.

610016206136401 is a deficient number, since it is larger than the sum of its proper divisors (16520326233559).

610016206136401 is a wasteful number, since it uses less digits than its factorization.

610016206136401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878993283.

The product of its (nonzero) digits is 31104, while the sum is 37.

Adding to 610016206136401 its reverse (104631602610016), we get a palindrome (714647808746417).

The spelling of 610016206136401 in words is "six hundred ten trillion, sixteen billion, two hundred six million, one hundred thirty-six thousand, four hundred one".

Divisors: 1 37 18757 694009 878974489 32522056093 16486924490173 610016206136401