Search a number
-
+
71611433556 = 223131755748479
BaseRepresentation
bin100001010110001011…
…1111100001001010100
320211211201112202010220
41002230113330021110
52133130011333211
652521533314340
75113412066445
oct1025427741124
9224751482126
1071611433556
1128408872a43
1211a666359b0
1369a3254630
143674a452cc
151ce1d1c806
hex10ac5fc254

71611433556 has 96 divisors (see below), whose sum is σ = 190877783040. Its totient is φ = 20700493824.

The previous prime is 71611433527. The next prime is 71611433563. The reversal of 71611433556 is 65533411617.

It is a happy number.

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, 1452925 + ... + 1501403.

It is an arithmetic number, because the mean of its divisors is an integer number (1988310240).

Almost surely, 271611433556 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 71611433556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95438891520).

71611433556 is an abundant number, since it is smaller than the sum of its proper divisors (119266349484).

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

71611433556 is a wasteful number, since it uses less digits than its factorization.

71611433556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49073 (or 49071 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The spelling of 71611433556 in words is "seventy-one billion, six hundred eleven million, four hundred thirty-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 557 663 884 1114 1326 1671 2228 2652 3342 6684 7241 9469 14482 18938 21723 28407 28964 37876 43446 48479 56814 86892 96958 113628 123097 145437 193916 246194 290874 369291 492388 581748 630227 738582 824143 1260454 1477164 1648286 1890681 2472429 2520908 3296572 3781362 4944858 7562724 9889716 10713859 21427718 27002803 32141577 42855436 54005606 64283154 81008409 108011212 128566308 162016818 324033636 351036439 459047651 702072878 918095302 1053109317 1377142953 1404145756 1836190604 2106218634 2754285906 4212437268 5508571812 5967619463 11935238926 17902858389 23870477852 35805716778 71611433556