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71030787984 = 243213230916433
BaseRepresentation
bin100001000100111000…
…0111100111110010000
320210100020221220011100
41002021300330332100
52130432340203414
652344152144400
75063131510302
oct1021160747620
9223306856140
1071030787984
1128140034372
1211924098100
13690cb74380
14361b899972
151caad74609
hex1089c3cf90

71030787984 has 120 divisors (see below), whose sum is σ = 214184650680. Its totient is φ = 21844832256.

The previous prime is 71030787977. The next prime is 71030788007. The reversal of 71030787984 is 48978703017.

It can be written as a sum of positive squares in 4 ways, for example, as 30779193600 + 40251594384 = 175440^2 + 200628^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71030787984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4314232 + ... + 4330664.

It is an arithmetic number, because the mean of its divisors is an integer number (1784872089).

Almost surely, 271030787984 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 71030787984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107092325340).

71030787984 is an abundant number, since it is smaller than the sum of its proper divisors (143153862696).

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

71030787984 is a wasteful number, since it uses less digits than its factorization.

71030787984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18769 (or 18760 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 71030787984 in words is "seventy-one billion, thirty million, seven hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2309 4618 6927 9236 13854 16433 18472 20781 27708 30017 32866 36944 41562 49299 55416 60034 65732 83124 90051 98598 110832 120068 131464 147897 166248 180102 197196 213629 240136 262928 270153 295794 332496 360204 394392 427258 480272 540306 591588 640887 720408 788784 854516 1080612 1183176 1281774 1440816 1709032 1922661 2161224 2366352 2563548 3418064 3845322 4322448 5127096 7690644 10254192 15381288 30762576 37943797 75887594 113831391 151775188 227662782 303550376 341494173 455325564 493269361 607100752 682988346 910651128 986538722 1365976692 1479808083 1821302256 1973077444 2731953384 2959616166 3946154888 4439424249 5463906768 5919232332 7892309776 8878848498 11838464664 17757696996 23676929328 35515393992 71030787984