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28918140798481 = 11217214921932
BaseRepresentation
bin1101001001101000001111…
…00000101000011000010001
310210101112202221202000222121
412210310013200220120101
512242243323021022411
6141300451021534241
76043160326041034
oct644640740503021
9123345687660877
1028918140798481
11923a12964a500
1232b0642a14381
131319c79ac117c
1471d9072c101b
15352361c44571
hex1a4d07828611

28918140798481 has 81 divisors (see below), whose sum is σ = 34170994057683. Its totient is φ = 24449394647040.

The previous prime is 28918140798451. The next prime is 28918140798529. The reversal of 28918140798481 is 18489704181982.

The square root of 28918140798481 is 5377559.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25057623166081 + 3860517632400 = 5005759^2 + 1964820^2 .

It is not a de Polignac number, because 28918140798481 - 215 = 28918140765713 is a prime.

It is a super-2 number, since 2×289181407984812 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 28918140798481.

It is not an unprimeable number, because it can be changed into a prime (28918140798451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 149834926321 + ... + 149834926513.

Almost surely, 228918140798481 is an apocalyptic number.

28918140798481 is the 5377559-th square number.

28918140798481 is the 2688780-th centered octagonal number.

It is an amenable number.

28918140798481 is a deficient number, since it is larger than the sum of its proper divisors (5252853259202).

28918140798481 is an equidigital number, since it uses as much as digits as its factorization.

28918140798481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 70.

The spelling of 28918140798481 in words is "twenty-eight trillion, nine hundred eighteen billion, one hundred forty million, seven hundred ninety-eight thousand, four hundred eighty-one".

Divisors: 1 11 17 121 149 187 193 289 1639 2057 2123 2533 3179 3281 18029 22201 23353 27863 28757 34969 36091 37249 43061 55777 244211 306493 316327 377417 397001 409739 473671 488869 613547 633233 2686321 3479597 4151587 4284793 4507129 5210381 5377559 5550101 6416089 6749017 6965563 8310773 10764961 45667457 47132723 59153149 61051111 70576979 72841481 76621193 91418503 94351717 118414571 518459953 671562221 776346769 801256291 826965049 1005603533 1037868887 1238305177 1302560281 1603979189 8813819201 9096615539 11416557757 13621356947 14058405833 17643771079 100062770929 149834926417 154642464163 194081481869 238992899161 1701067105793 2628921890771 28918140798481