Search a number
-
+
4124167672001 = 131780112329471
BaseRepresentation
bin111100000000111011100…
…011001001000011000001
3112121021012100001222121212
4330000323203021003001
51020032243411001001
612434341054055505
7603650501543546
oct74007343110301
915537170058555
104124167672001
111350060152413
1256735b4aa595
1323bba457ccc0
14103879da4bcd
157242bca67bb
hex3c03b8c90c1

4124167672001 has 16 divisors (see below), whose sum is σ = 4703259875328. Its totient is φ = 3582538502400.

The previous prime is 4124167671977. The next prime is 4124167672013. The reversal of 4124167672001 is 1002767614214.

It is a de Polignac number, because none of the positive numbers 2k-4124167672001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4124167672001.

It is not an unprimeable number, because it can be changed into a prime (4124167672501) 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 15 ways as a sum of consecutive naturals, for example, 605696 + ... + 2935166.

It is an arithmetic number, because the mean of its divisors is an integer number (293953742208).

Almost surely, 24124167672001 is an apocalyptic number.

It is an amenable number.

4124167672001 is a deficient number, since it is larger than the sum of its proper divisors (579092203327).

4124167672001 is a wasteful number, since it uses less digits than its factorization.

4124167672001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337512.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 4124167672001 in words is "four trillion, one hundred twenty-four billion, one hundred sixty-seven million, six hundred seventy-two thousand, one".

Divisors: 1 13 17 221 8011 104143 136187 1770431 2329471 30283123 39601007 514813091 18661392181 242598098353 317243667077 4124167672001