Search a number
-
+
71244271644 = 223713232836609
BaseRepresentation
bin100001001011001111…
…1010101000000011100
320210220010122222200120
41002112133111000130
52131402013143034
652421255554540
75101333213530
oct1022637250034
9223803588616
1071244271644
112823a596847
121198368ba50
13694516ca70
14363bd8bbc0
151cbe993c49
hex10967d501c

71244271644 has 96 divisors (see below), whose sum is σ = 213494615040. Its totient is φ = 17972748288.

The previous prime is 71244271643. The next prime is 71244271691. The reversal of 71244271644 is 44617244217.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71244271596 and 71244271605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71244271643) 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, 1393189 + ... + 1443420.

It is an arithmetic number, because the mean of its divisors is an integer number (2223902240).

Almost surely, 271244271644 is an apocalyptic number.

It is an amenable number.

71244271644 is an abundant number, since it is smaller than the sum of its proper divisors (142250343396).

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

71244271644 is a wasteful number, since it uses less digits than its factorization.

71244271644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836659 (or 2836657 counting only the distinct ones).

The product of its digits is 301056, while the sum is 42.

The spelling of 71244271644 in words is "seventy-one billion, two hundred forty-four million, two hundred seventy-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 3588 4186 6279 8372 12558 25116 2836609 5673218 8509827 11346436 17019654 19856263 34039308 36875917 39712526 59568789 65242007 73751834 79425052 110627751 119137578 130484014 147503668 195726021 221255502 238275156 258131419 260968028 391452042 442511004 456694049 516262838 774394257 782904084 848146091 913388098 1032525676 1370082147 1548788514 1696292182 1826776196 2544438273 2740164294 3097577028 3392584364 5088876546 5480328588 5937022637 10177753092 11874045274 17811067911 23748090548 35622135822 71244271644