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71040104760 = 23357371911279
BaseRepresentation
bin100001000101001010…
…0011111100100111000
320210100220111020101010
41002022110133210320
52130442231323020
652345123553520
75063303633022
oct1021224374470
9223326436333
1071040104760
1128145318189
121192722b8a0
136911a86c61
14361cc03012
151cabab4de0
hex108a51f938

71040104760 has 128 divisors (see below), whose sum is σ = 216359424000. Its totient is φ = 18656879616.

The previous prime is 71040104743. The next prime is 71040104767. The reversal of 71040104760 is 6740104017.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71040104767) 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, 6292801 + ... + 6304079.

It is an arithmetic number, because the mean of its divisors is an integer number (1690308000).

Almost surely, 271040104760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71040104760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108179712000).

71040104760 is an abundant number, since it is smaller than the sum of its proper divisors (145319319240).

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

71040104760 is a wasteful number, since it uses less digits than its factorization.

71040104760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12081 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

Adding to 71040104760 its reverse (6740104017), we get a palindrome (77780208777).

The spelling of 71040104760 in words is "seventy-one billion, forty million, one hundred four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 719 730 876 1095 1438 1460 1752 2157 2190 2876 2920 3595 4314 4380 5752 7190 8628 8760 10785 11279 14380 17256 21570 22558 28760 33837 43140 45116 52487 56395 67674 86280 90232 104974 112790 135348 157461 169185 209948 225580 262435 270696 314922 338370 419896 451160 524870 629844 676740 787305 823367 1049740 1259688 1353480 1574610 1646734 2099480 2470101 3149220 3293468 4116835 4940202 6298440 6586936 8109601 8233670 9880404 12350505 16219202 16467340 19760808 24328803 24701010 32438404 32934680 40548005 48657606 49402020 64876808 81096010 97315212 98804040 121644015 162192020 194630424 243288030 324384040 486576060 592000873 973152120 1184001746 1776002619 2368003492 2960004365 3552005238 4736006984 5920008730 7104010476 8880013095 11840017460 14208020952 17760026190 23680034920 35520052380 71040104760