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71078211216 = 24321757750321
BaseRepresentation
bin100001000110010010…
…1110110111010010000
320210110120012020121100
41002030211312322100
52131032010224331
652353004424400
75064245553405
oct1021445667220
9223416166540
1071078211216
1128164885121
1211937b48100
13691993995c
143623cc22ac
151cb00e0ae6
hex108c976e90

71078211216 has 120 divisors (see below), whose sum is σ = 210990685464. Its totient is φ = 22259957760.

The previous prime is 71078211181. The next prime is 71078211221. The reversal of 71078211216 is 61211287017.

It can be written as a sum of positive squares in 4 ways, for example, as 49995171216 + 21083040000 = 223596^2 + 145200^2 .

It is a super-2 number, since 2×710782112162 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1387336 + ... + 1437656.

Almost surely, 271078211216 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 71078211216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105495342732).

71078211216 is an abundant number, since it is smaller than the sum of its proper divisors (139912474248).

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

71078211216 is a wasteful number, since it uses less digits than its factorization.

71078211216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50929 (or 50920 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 71078211216 in words is "seventy-one billion, seventy-eight million, two hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 577 612 816 1154 1224 1731 2308 2448 3462 4616 5193 6924 9232 9809 10386 13848 19618 20772 27696 29427 39236 41544 50321 58854 78472 83088 88281 100642 117708 150963 156944 176562 201284 235416 301926 353124 402568 452889 470832 603852 706248 805136 855457 905778 1207704 1412496 1710914 1811556 2415408 2566371 3421828 3623112 5132742 6843656 7246224 7699113 10265484 13687312 15398226 20530968 29035217 30796452 41061936 58070434 61592904 87105651 116140868 123185808 174211302 232281736 261316953 348422604 464563472 493598689 522633906 696845208 987197378 1045267812 1393690416 1480796067 1974394756 2090535624 2961592134 3948789512 4181071248 4442388201 5923184268 7897579024 8884776402 11846368536 17769552804 23692737072 35539105608 71078211216