Search a number
-
+
426014072712 = 233217348050713
BaseRepresentation
bin1100011001100000110…
…10101101111110001000
31111201121122122012001100
412030300122231332020
523434434100311322
6523412544021400
742531011604414
oct6146032557610
91451548565040
10426014072712
11154742924248
126a693301860
1331232c9b287
14168950bbd44
15b13562bdac
hex63306adf88

426014072712 has 48 divisors (see below), whose sum is σ = 1221658006140. Its totient is φ = 133651473408.

The previous prime is 426014072647. The next prime is 426014072713. The reversal of 426014072712 is 217270410624.

426014072712 is a `hidden beast` number, since 4 + 2 + 601 + 40 + 7 + 2 + 7 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 425372666436 + 641406276 = 652206^2 + 25326^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (426014072713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174024133 + ... + 174026580.

Almost surely, 2426014072712 is an apocalyptic number.

It is an amenable number.

426014072712 is an abundant number, since it is smaller than the sum of its proper divisors (795643933428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426014072712 is a wasteful number, since it uses less digits than its factorization.

426014072712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348050742 (or 348050735 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 426014072712 in words is "four hundred twenty-six billion, fourteen million, seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 348050713 696101426 1044152139 1392202852 2088304278 2784405704 3132456417 4176608556 5916862121 6264912834 8353217112 11833724242 12529825668 17750586363 23667448484 25059651336 35501172726 47334896968 53251759089 71002345452 106503518178 142004690904 213007036356 426014072712