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516222071616 = 26315135350441
BaseRepresentation
bin1111000001100010011…
…10111011001101000000
31211100110101220100000210
413200301032323031000
531424210322242431
61033052114314120
752203315131646
oct7406116731500
91740411810023
10516222071616
11189a239a0a59
1284069888940
13398aac18614
141adb1881196
15d664d92d46
hex78313bb340

516222071616 has 112 divisors (see below), whose sum is σ = 1378805033088. Its totient is φ = 170446848000.

The previous prime is 516222071593. The next prime is 516222071627. The reversal of 516222071616 is 616170222615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10208956 + ... + 10259396.

It is an arithmetic number, because the mean of its divisors is an integer number (12310759224).

Almost surely, 2516222071616 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 516222071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689402516544).

516222071616 is an abundant number, since it is smaller than the sum of its proper divisors (862582961472).

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

516222071616 is a wasteful number, since it uses less digits than its factorization.

516222071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50960 (or 50950 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 516222071616 in words is "five hundred sixteen billion, two hundred twenty-two million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 353 453 604 706 906 1059 1208 1412 1812 2118 2416 2824 3624 4236 4832 5648 7248 8472 9664 11296 14496 16944 22592 28992 33888 50441 53303 67776 100882 106606 151323 159909 201764 213212 302646 319818 403528 426424 605292 639636 807056 852848 1210584 1279272 1614112 1705696 2421168 2558544 3228224 3411392 4842336 5117088 7616591 9684672 10234176 15233182 17805673 22849773 30466364 35611346 45699546 53417019 60932728 71222692 91399092 106834038 121865456 142445384 182798184 213668076 243730912 284890768 365596368 427336152 487461824 569781536 731192736 854672304 1139563072 1462385472 1709344608 2688656623 3418689216 5377313246 8065969869 10754626492 16131939738 21509252984 32263879476 43018505968 64527758952 86037011936 129055517904 172074023872 258111035808 516222071616