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6769082248516 = 227219297812
BaseRepresentation
bin110001010000000110010…
…1111100010110101000100
3212222010011222110210011001
41202200030233202311010
51341401040023423031
622221401244423044
71266023111523100
oct142401457426504
925863158423131
106769082248516
11217a82a506915
12913a87b47a84
133a1424a73b63
141958a7c8c900
15bb12ccb9861
hex6280cbe2d44

6769082248516 has 81 divisors (see below), whose sum is σ = 14544834813117. Its totient is φ = 2748068195040.

The previous prime is 6769082248433. The next prime is 6769082248583. The reversal of 6769082248516 is 6158422809676.

The square root of 6769082248516 is 2601746.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2915399162116 + 3853683086400 = 1707454^2 + 1963080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 692059546 + ... + 692069326.

Almost surely, 26769082248516 is an apocalyptic number.

6769082248516 is the 2601746-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6769082248516

6769082248516 is an abundant number, since it is smaller than the sum of its proper divisors (7775752564601).

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

6769082248516 is an frugal number, since it uses more digits than its factorization.

6769082248516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19618 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

Multiplying 6769082248516 by its sum of digits (64), we get a square (433221263905024 = 208139682).

The spelling of 6769082248516 in words is "six trillion, seven hundred sixty-nine billion, eighty-two million, two hundred forty-eight thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 9781 10108 17689 19562 35378 39124 68467 70756 136934 185839 273868 371678 479269 743356 958538 1300873 1917076 2601746 3530941 5203492 7061882 9106111 14123764 18212222 24716587 36424444 49433174 95667961 98866348 173016109 191335922 346032218 382671844 669675727 692064436 1339351454 1817691259 2678702908 3635382518 4687730089 7270765036 9375460178 12723838813 18750920356 25447677626 34536133921 50895355252 69072267842 89066871691 138144535684 178133743382 241752937447 356267486764 483505874894 967011749788 1692270562129 3384541124258 6769082248516