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513754262116 = 2217389161312041
BaseRepresentation
bin1110111100111100010…
…00111110101001100100
31211010002102021121210221
413132132020332221210
531404132042341431
61032003200454124
752055211114034
oct7363610765144
91733072247727
10513754262116
11188977984177
128369b31a344
13395a687a204
141ac19c0d8c4
15d56d3c5111
hex779e23ea64

513754262116 has 48 divisors (see below), whose sum is σ = 955074622320. Its totient is φ = 240975687680.

The previous prime is 513754262059. The next prime is 513754262141. The reversal of 513754262116 is 611262457315.

It can be written as a sum of positive squares in 8 ways, for example, as 9980809216 + 503773452900 = 99904^2 + 709770^2 .

It is a super-3 number, since 3×5137542621163 (a number of 36 digits) contains 333 as substring.

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, 42661056 + ... + 42673096.

It is an arithmetic number, because the mean of its divisors is an integer number (19897387965).

Almost surely, 2513754262116 is an apocalyptic number.

It is an amenable number.

513754262116 is a deficient number, since it is larger than the sum of its proper divisors (441320360204).

513754262116 is a wasteful number, since it uses less digits than its factorization.

513754262116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14064 (or 14062 counting only the distinct ones).

The product of its digits is 302400, while the sum is 43.

The spelling of 513754262116 in words is "five hundred thirteen billion, seven hundred fifty-four million, two hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 4 17 34 68 389 778 1556 1613 3226 6452 6613 12041 13226 24082 26452 27421 48164 54842 109684 204697 409394 627457 818788 1254914 2509828 4683949 9367898 10666769 18735796 19422133 21333538 38844266 42667076 77688532 79627133 159254266 318508532 330176261 660352522 1320705044 7555209737 15110419474 30220838948 128438565529 256877131058 513754262116