Search a number
-
+
695128727604961 = 131729233465499313
BaseRepresentation
bin1001111000001101110100010…
…0111000011100111011100001
310101011020122202012210110100101
42132003131010320130323201
51212102442113231324321
610502225421242022401
7266263251612306136
oct23603350470347341
93334218665713311
10695128727604961
1119154248a845541
1265b687304a7a01
1323ab4485c71c60
14c3925a4bca58d
155556d60543791
hex2783744e1cee1

695128727604961 has 32 divisors (see below), whose sum is σ = 823486906438560. Its totient is φ = 580585637904384.

The previous prime is 695128727604953. The next prime is 695128727604979. The reversal of 695128727604961 is 169406727821596.

695128727604961 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 16 ways, for example, as 76604068140625 + 618524659464336 = 8752375^2 + 24870156^2 .

It is not a de Polignac number, because 695128727604961 - 23 = 695128727604953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (695128727604901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231256360 + ... + 234242953.

It is an arithmetic number, because the mean of its divisors is an integer number (25733965826205).

Almost surely, 2695128727604961 is an apocalyptic number.

It is an amenable number.

695128727604961 is a deficient number, since it is larger than the sum of its proper divisors (128358178833599).

695128727604961 is a wasteful number, since it uses less digits than its factorization.

695128727604961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465499605.

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 695128727604961 in words is "six hundred ninety-five trillion, one hundred twenty-eight billion, seven hundred twenty-seven million, six hundred four thousand, nine hundred sixty-one".

Divisors: 1 13 17 29 221 233 377 493 3029 3961 6409 6757 51493 87841 114869 1493297 465499313 6051491069 7913488321 13499480077 102875348173 108461339929 175493241001 229491161309 1409997419077 1843842778793 2983385097017 3145378857941 23969956124309 40889925153233 53471440584997 695128727604961