Search a number
-
+
71121252156 = 2231711326311731
BaseRepresentation
bin100001000111100101…
…0000010111100111100
320210120120011221200020
41002033022002330330
52131124020032111
652401143132140
75065310445243
oct1021712027474
9223516157606
1071121252156
1128187102449
121194a444050
136925829676
1436298c795a
151cb3c93906
hex108f282f3c

71121252156 has 96 divisors (see below), whose sum is σ = 177955481088. Its totient is φ = 22029127680.

The previous prime is 71121252127. The next prime is 71121252161. The reversal of 71121252156 is 65125212117.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6056811 + ... + 6068541.

It is an arithmetic number, because the mean of its divisors is an integer number (1853702928).

Almost surely, 271121252156 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 71121252156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88977740544).

71121252156 is an abundant number, since it is smaller than the sum of its proper divisors (106834228932).

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

71121252156 is a wasteful number, since it uses less digits than its factorization.

71121252156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12129 counting only the distinct ones).

The product of its digits is 8400, while the sum is 33.

The spelling of 71121252156 in words is "seventy-one billion, one hundred twenty-one million, two hundred fifty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 113 204 226 263 339 452 526 678 789 1052 1356 1578 1921 3156 3842 4471 5763 7684 8942 11526 11731 13413 17884 23052 23462 26826 29719 35193 46924 53652 59438 70386 89157 118876 140772 178314 199427 356628 398854 505223 598281 797708 1010446 1196562 1325603 1515669 2020892 2393124 2651206 3031338 3085253 3976809 5302412 6062676 6170506 7953618 9255759 12341012 15907236 18511518 22535251 37023036 45070502 52449301 67605753 90141004 104898602 135211506 157347903 209797204 270423012 314695806 348633589 629391612 697267178 1045900767 1394534356 2091801534 4183603068 5926771013 11853542026 17780313039 23707084052 35560626078 71121252156