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71063162772 = 22372831519643
BaseRepresentation
bin100001000101110110…
…0011100111110010100
320210102111212201000120
41002023230130332110
52131014132202042
652351310111540
75064003626400
oct1021354347624
9223374781016
1071063162772
1128157336a98
1211932aab5b0
13691679b254
143621cc6100
151cadb1bdec
hex108bb1cf94

71063162772 has 144 divisors (see below), whose sum is σ = 196522808832. Its totient is φ = 19924228800.

The previous prime is 71063162749. The next prime is 71063162773. The reversal of 71063162772 is 27726136017.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71063162773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7364583 + ... + 7374225.

It is an arithmetic number, because the mean of its divisors is an integer number (1364741728).

Almost surely, 271063162772 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 71063162772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98261404416).

71063162772 is an abundant number, since it is smaller than the sum of its proper divisors (125459646060).

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

71063162772 is a wasteful number, since it uses less digits than its factorization.

71063162772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9898 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

Adding to 71063162772 its reverse (27726136017), we get a palindrome (98789298789).

The spelling of 71063162772 in words is "seventy-one billion, sixty-three million, one hundred sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 147 151 166 196 249 294 302 332 453 498 581 588 604 906 996 1057 1162 1743 1812 2114 2324 3171 3486 4067 4228 6342 6972 7399 8134 9643 12201 12533 12684 14798 16268 19286 22197 24402 25066 28929 29596 37599 38572 44394 48804 50132 57858 67501 75198 87731 88788 115716 135002 150396 175462 202503 263193 270004 350924 405006 472507 526386 614117 800369 810012 945014 1052772 1228234 1417521 1456093 1600738 1842351 1890028 2401107 2456468 2835042 2912186 3201476 3684702 4368279 4802214 5602583 5670084 5824372 7369404 8736558 9604428 10192651 11205166 16807749 17473116 20385302 22410332 30577953 33615498 39218081 40770604 61155906 67230996 71348557 78436162 117654243 120855719 122311812 142697114 156872324 214045671 235308486 241711438 285394228 362567157 428091342 470616972 483422876 725134314 845990033 856182684 1450268628 1691980066 2537970099 3383960132 5075940198 5921930231 10151880396 11843860462 17765790693 23687720924 35531581386 71063162772