Search a number
-
+
71225883005 = 5375323331177
BaseRepresentation
bin100001001010101100…
…1001011100101111101
320210211212001202012212
41002111121023211331
52131332311224010
652415401510205
75101021005404
oct1022531134575
9223755052185
1071225883005
1128230177122
12119794a2365
136941401c04
14363976263b
151cbd060505
hex109564b97d

71225883005 has 32 divisors (see below), whose sum is σ = 89824067424. Its totient is φ = 54159446016.

The previous prime is 71225882963. The next prime is 71225883007. The reversal of 71225883005 is 50038852217.

It can be written as a sum of positive squares in 16 ways, for example, as 1383021721 + 69842861284 = 37189^2 + 264278^2 .

It is a cyclic number.

It is not a de Polignac number, because 71225883005 - 210 = 71225881981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71225883007) 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 31 ways as a sum of consecutive naturals, for example, 2268977 + ... + 2300153.

It is an arithmetic number, because the mean of its divisors is an integer number (2807002107).

Almost surely, 271225883005 is an apocalyptic number.

It is an amenable number.

71225883005 is a deficient number, since it is larger than the sum of its proper divisors (18598184419).

71225883005 is a wasteful number, since it uses less digits than its factorization.

71225883005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31505.

The product of its (nonzero) digits is 134400, while the sum is 41.

The spelling of 71225883005 in words is "seventy-one billion, two hundred twenty-five million, eight hundred eighty-three thousand, five".

Divisors: 1 5 37 53 185 233 265 1165 1961 8621 9805 12349 31177 43105 61745 155885 456913 1153549 1652381 2284565 5767745 7264241 8261905 36321205 61138097 268776917 305690485 385004773 1343884585 1925023865 14245176601 71225883005