Search a number
-
+
768478364271 = 321728611755587
BaseRepresentation
bin10110010111011001110…
…00010100001001101111
32201110120120121201210200
423023230320110021233
5100042320430124041
61345011210204543
7106343416214262
oct13135470241157
92643516551720
10768478364271
11276a01003282
12104b29a23753
135760c588507
14292a1bc4cd9
1514ecace81b6
hexb2ece1426f

768478364271 has 24 divisors (see below), whose sum is σ = 1175731328304. Its totient is φ = 482013692160.

The previous prime is 768478364267. The next prime is 768478364293. The reversal of 768478364271 is 172463874867.

768478364271 is a `hidden beast` number, since 7 + 68 + 478 + 36 + 4 + 2 + 71 = 666.

It is not a de Polignac number, because 768478364271 - 22 = 768478364267 is a prime.

It is a super-2 number, since 2×7684783642712 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 768478364199 and 768478364208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768478364371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440061 + ... + 1315526.

It is an arithmetic number, because the mean of its divisors is an integer number (48988805346).

Almost surely, 2768478364271 is an apocalyptic number.

768478364271 is a deficient number, since it is larger than the sum of its proper divisors (407252964033).

768478364271 is a wasteful number, since it uses less digits than its factorization.

768478364271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758471 (or 1758468 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 63.

The spelling of 768478364271 in words is "seven hundred sixty-eight billion, four hundred seventy-eight million, three hundred sixty-four thousand, two hundred seventy-one".

Divisors: 1 3 9 17 51 153 2861 8583 25749 48637 145911 437733 1755587 5266761 15800283 29844979 89534937 268604811 5022734407 15068203221 45204609663 85386484919 256159454757 768478364271