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67016401 = 192185641
BaseRepresentation
bin1111111110100…
…1011011010001
311200002210012221
43333221123101
5114124011101
610352221041
71442426044
oct377513321
9150083187
1067016401
1134913461
121a53a781
1310b6579a
148c86c5b
155d3baa1
hex3fe96d1

67016401 has 6 divisors (see below), whose sum is σ = 70729602. Its totient is φ = 63488880.

The previous prime is 67016387. The next prime is 67016437. The reversal of 67016401 is 10461076.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66438801 + 577600 = 8151^2 + 760^2 .

It is not a de Polignac number, because 67016401 - 215 = 66983633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67016461) 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 5 ways as a sum of consecutive naturals, for example, 92460 + ... + 93181.

It is an arithmetic number, because the mean of its divisors is an integer number (11788267).

Almost surely, 267016401 is an apocalyptic number.

It is an amenable number.

67016401 is a deficient number, since it is larger than the sum of its proper divisors (3713201).

67016401 is a wasteful number, since it uses less digits than its factorization.

67016401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185679 (or 185660 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 67016401 is about 8186.3545610974. The cubic root of 67016401 is about 406.1879483608.

Adding to 67016401 its reverse (10461076), we get a palindrome (77477477).

It can be divided in two parts, 670 and 16401, that added together give a palindrome (17071).

The spelling of 67016401 in words is "sixty-seven million, sixteen thousand, four hundred one".

Divisors: 1 19 361 185641 3527179 67016401