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768603505001 = 7326249401113
BaseRepresentation
bin10110010111101000101…
…01101100000101101001
32201110220022002112121112
423023310111230011221
5100043044444130001
61345031440320105
7106346465666123
oct13136425540551
92643808075545
10768603505001
11276a65706372
12104b63913035
135762c492297
14292b467c213
1514ed6cb6cbb
hexb2f456c169

768603505001 has 8 divisors (see below), whose sum is σ = 779163945000. Its totient is φ = 758043919872.

The previous prime is 768603504997. The next prime is 768603505013. The reversal of 768603505001 is 100505306867.

768603505001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 320694557401 + 447908947600 = 566299^2 + 669260^2 .

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 768603505001 - 22 = 768603504997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 768603505001.

It is not an unprimeable number, because it can be changed into a prime (768603555001) 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, 1715621 + ... + 2116733.

It is an arithmetic number, because the mean of its divisors is an integer number (97395493125).

Almost surely, 2768603505001 is an apocalyptic number.

It is an amenable number.

768603505001 is a deficient number, since it is larger than the sum of its proper divisors (10560439999).

768603505001 is a wasteful number, since it uses less digits than its factorization.

768603505001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427435.

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 768603505001 in words is "seven hundred sixty-eight billion, six hundred three million, five hundred five thousand, one".

Divisors: 1 73 26249 401113 1916177 29281249 10528815137 768603505001