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71720616220 = 2251113110912281
BaseRepresentation
bin100001011001011100…
…0011100000100011100
320212010022222210121021
41002302320130010130
52133340434204340
652540433413524
75116206115321
oct1026270340434
9225108883537
1071720616220
1128464466550
1211a9710a2a4
1369bca61966
143685346b48
151ceb6d7e4a
hex10b2e1c11c

71720616220 has 96 divisors (see below), whose sum is σ = 165784050432. Its totient is φ = 25846080000.

The previous prime is 71720616193. The next prime is 71720616239. The reversal of 71720616220 is 2261602717.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31441480 + ... + 31443760.

It is an arithmetic number, because the mean of its divisors is an integer number (1726917192).

Almost surely, 271720616220 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 71720616220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82892025216).

71720616220 is an abundant number, since it is smaller than the sum of its proper divisors (94063434212).

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

71720616220 is a wasteful number, since it uses less digits than its factorization.

71720616220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 71720616220 in words is "seventy-one billion, seven hundred twenty million, six hundred sixteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1091 1310 1441 2182 2281 2620 2882 4364 4562 5455 5764 7205 9124 10910 11405 12001 14410 21820 22810 24002 25091 28820 45620 48004 50182 60005 100364 120010 125455 142921 240020 250910 285842 298811 501820 571684 597622 714605 1195244 1429210 1494055 1572131 2488571 2858420 2988110 3144262 3286921 4977142 5976220 6288524 6573842 7860655 9954284 12442855 13147684 15721310 16434605 24885710 27374281 31442620 32869210 49771420 54748562 65738420 109497124 136871405 273742810 326002801 547485620 652005602 1304011204 1630014005 3260028010 3586030811 6520056020 7172061622 14344123244 17930154055 35860308110 71720616220