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2006502401 = 17155376001
BaseRepresentation
bin111011110011000…
…1100110000000001
312011211120212211202
41313212030300001
513102131034101
6531034150545
7100502663141
oct16746146001
95154525752
102006502401
1193a688a52
1247bb82455
1325c912c37
141506ac921
15bb24936b
hex7798cc01

2006502401 has 8 divisors (see below), whose sum is σ = 2125927944. Its totient is φ = 1887232000.

The previous prime is 2006502389. The next prime is 2006502409. The reversal of 2006502401 is 1042056002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 338596801 + 1667905600 = 18401^2 + 40840^2 .

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 2006502401 - 210 = 2006501377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2006502409) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11600 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (265740993).

Almost surely, 22006502401 is an apocalyptic number.

It is an amenable number.

2006502401 is a deficient number, since it is larger than the sum of its proper divisors (119425543).

2006502401 is a wasteful number, since it uses less digits than its factorization.

2006502401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77571.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2006502401 is about 44793.9996093227. Note that the first 3 decimals coincide. The cubic root of 2006502401 is about 1261.2849914610.

Adding to 2006502401 its reverse (1042056002), we get a palindrome (3048558403).

The spelling of 2006502401 in words is "two billion, six million, five hundred two thousand, four hundred one".

Divisors: 1 17 1553 26401 76001 1292017 118029553 2006502401