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28545714866761 = 1923124721932
BaseRepresentation
bin1100111110110010100010…
…01100011100101001001001
310202001221110221122110122221
412133121101030130221021
512220143111001214021
6140413415333414041
76004234265616451
oct637312114345111
9122057427573587
1028545714866761
119106195947794
12325042619a321
1312c0b0707cc81
147098972b6d61
15347815eca241
hex19f65131ca49

28545714866761 has 81 divisors (see below), whose sum is σ = 31972487125383. Its totient is φ = 25481399800320.

The previous prime is 28545714866681. The next prime is 28545714866783. The reversal of 28545714866761 is 16766841754582.

The square root of 28545714866761 is 5342819.

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., 6916295113225 + 21629419753536 = 2629885^2 + 4650744^2 .

It is not a de Polignac number, because 28545714866761 - 27 = 28545714866633 is a prime.

It is a super-2 number, since 2×285457148667612 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28545714866161) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147905258281 + ... + 147905258473.

Almost surely, 228545714866761 is an apocalyptic number.

28545714866761 is the 5342819-th square number.

28545714866761 is the 2671410-th centered octagonal number.

It is an amenable number.

28545714866761 is a deficient number, since it is larger than the sum of its proper divisors (3426772258622).

28545714866761 is an frugal number, since it uses more digits than its factorization.

28545714866761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 290 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 70.

The spelling of 28545714866761 in words is "twenty-eight trillion, five hundred forty-five billion, seven hundred fourteen million, eight hundred sixty-six thousand, seven hundred sixty-one".

Divisors: 1 19 31 47 193 361 589 893 961 1457 2209 3667 5983 9071 11191 16967 18259 27683 37249 41971 45167 68479 69673 113677 172349 185473 281201 346921 426337 525977 707731 797449 858173 1154719 1301101 1750703 2122849 2159863 3274631 3523987 5342819 8100403 8717231 13216447 13446889 16305287 21939661 24720919 33263357 35796289 40334131 54271793 66955753 82283041 101513561 153907657 165627389 251112493 409709857 416853559 632003783 680129491 766348489 1031164067 1563377779 1682425583 2550774271 3146920391 4771137367 7784487283 12922460329 19592117273 29704177801 31966086077 48464711149 79074002401 147905258377 607355635463 920829511831 1502406045619 28545714866761