Search a number
-
+
34648317711 = 3271960148163
BaseRepresentation
bin100000010001001100…
…110101111100001111
310022102200220220112100
4200101030311330033
51031424432131321
623530041410143
72334421561350
oct402114657417
9108380826470
1034648317711
1113770087a17
12686b799953
1333623cbb57
141969921d27
15d7bc63326
hex811335f0f

34648317711 has 48 divisors (see below), whose sum is σ = 60309034240. Its totient is φ = 18725385600.

The previous prime is 34648317709. The next prime is 34648317721. The reversal of 34648317711 is 11771384643.

34648317711 is a `hidden beast` number, since 3 + 464 + 8 + 3 + 177 + 11 = 666.

It is not a de Polignac number, because 34648317711 - 21 = 34648317709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34648317721) 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 47 ways as a sum of consecutive naturals, for example, 695316 + ... + 743478.

Almost surely, 234648317711 is an apocalyptic number.

34648317711 is a deficient number, since it is larger than the sum of its proper divisors (25660716529).

34648317711 is a wasteful number, since it uses less digits than its factorization.

34648317711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48796 (or 48793 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 34648317711 in words is "thirty-four billion, six hundred forty-eight million, three hundred seventeen thousand, seven hundred eleven".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 601 1197 1803 4207 5409 11419 12621 34257 37863 48163 79933 102771 144489 239799 337141 433467 719397 915097 1011423 2745291 3034269 6405679 8235873 19217037 28945963 57651111 86837889 202621741 260513667 549973297 607865223 1649919891 1823595669 3849813079 4949759673 11549439237 34648317711