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104112415648857 = 371118311000924593
BaseRepresentation
bin10111101011000010001111…
…100011010010110001011001
3111122122001100020212212212010
4113223002033203102301121
5102121234211401230412
61005232330010140133
730633605500330020
oct2753021743226131
9448561306785763
10104112415648857
113019a911479670
12b815825421649
1346129b2a45ca5
141b9d0d40a98b7
15c0830998a33c
hex5eb08f8d2c59

104112415648857 has 64 divisors (see below), whose sum is σ = 173188854558720. Its totient is φ = 54047235225600.

The previous prime is 104112415648853. The next prime is 104112415648859. The reversal of 104112415648857 is 758846514211401.

It is a happy number.

104112415648857 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 104112415648857 - 22 = 104112415648853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104112415648797 and 104112415648806.

It is not an unprimeable number, because it can be changed into a prime (104112415648853) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4233404353 + ... + 4233428945.

It is an arithmetic number, because the mean of its divisors is an integer number (2706075852480).

Almost surely, 2104112415648857 is an apocalyptic number.

It is an amenable number.

104112415648857 is a deficient number, since it is larger than the sum of its proper divisors (69076438909863).

104112415648857 is a wasteful number, since it uses less digits than its factorization.

104112415648857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36454.

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 104112415648857 in words is "one hundred four trillion, one hundred twelve billion, four hundred fifteen million, six hundred forty-eight thousand, eight hundred fifty-seven".

Divisors: 1 3 7 11 21 33 77 231 1831 5493 10009 12817 20141 24593 30027 38451 60423 70063 73779 110099 140987 172151 210189 270523 330297 422961 516453 770693 811569 1893661 2312079 5680983 18326479 45029783 54979437 128285353 135089349 201591269 246151337 315208481 384856059 495327613 604773807 738454011 945625443 1411138883 1485982839 1723059359 2707664707 3467293291 4233416649 5169178077 8122994121 10401879873 18953652949 56860958847 450703098047 1352109294141 3154921686329 4957734078517 9464765058987 14873202235551 34704138549619 104112415648857