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513362983987098 = 23373314103030611
BaseRepresentation
bin111010010111001101010001…
…0010011010010011110011010
32111022200000121000111020222000
41310232122202103102132122
51014241414342400041343
65015455411000541430
7213063152211630330
oct16456324223223632
92438600530436860
10513362983987098
1113963402312a563
12496b1228781876
131905abc9ba3a0b
1490aac884b1b50
153e53b38e25ed3
hex1d2e6a24d279a

513362983987098 has 64 divisors (see below), whose sum is σ = 1307717916656640. Its totient is φ = 146232010940400.

The previous prime is 513362983987093. The next prime is 513362983987111. The reversal of 513362983987098 is 890789389263315.

513362983987098 is a `hidden beast` number, since 5 + 1 + 3 + 362 + 9 + 83 + 98 + 7 + 0 + 98 = 666.

It is a super-2 number, since 2×5133629839870982 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513362983987093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2051390188 + ... + 2051640423.

It is an arithmetic number, because the mean of its divisors is an integer number (20433092447760).

Almost surely, 2513362983987098 is an apocalyptic number.

513362983987098 is an abundant number, since it is smaller than the sum of its proper divisors (794354932669542).

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

513362983987098 is a wasteful number, since it uses less digits than its factorization.

513362983987098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4103030960 (or 4103030954 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 513362983987098 in words is "five hundred thirteen trillion, three hundred sixty-two billion, nine hundred eighty-three million, nine hundred eighty-seven thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 331 378 662 993 1986 2317 2979 4634 5958 6951 8937 13902 17874 20853 41706 62559 125118 4103030611 8206061222 12309091833 24618183666 28721214277 36927275499 57442428554 73854550998 86163642831 110781826497 172327285662 221563652994 258490928493 516981856986 775472785479 1358103132241 1550945570958 2716206264482 4074309396723 8148618793446 9506721925687 12222928190169 19013443851374 24445856380338 28520165777061 36668784570507 57040331554122 73337569141014 85560497331183 171120994662366 256681491993549 513362983987098