Search a number
-
+
104614480553535 = 32522434057255473
BaseRepresentation
bin10111110010010101110100…
…111100111010011000111111
3111201102001021000120121210200
4113302111310330322120333
5102203000424010203120
61010255121235334543
731015101231523551
oct2762256474723077
9451361230517720
10104614480553535
113037382aa84557
12b896ba1a51453
13464b145914644
141bb95216414d1
15c163e1a01e90
hex5f2574f3a63f

104614480553535 has 48 divisors (see below), whose sum is σ = 181458035931744. Its totient is φ = 55755549997056.

The previous prime is 104614480553509. The next prime is 104614480553549. The reversal of 104614480553535 is 535355084416401.

104614480553535 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 4 + 4 + 80 + 553 + 5 + 3 + 5 = 666.

It is not a de Polignac number, because 104614480553535 - 210 = 104614480552511 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409365559 + ... + 409621031.

It is an arithmetic number, because the mean of its divisors is an integer number (3780375748578).

Almost surely, 2104614480553535 is an apocalyptic number.

104614480553535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104614480553535 is a deficient number, since it is larger than the sum of its proper divisors (76843555378209).

104614480553535 is a wasteful number, since it uses less digits than its factorization.

104614480553535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261784 (or 261781 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 104614480553535 in words is "one hundred four trillion, six hundred fourteen billion, four hundred eighty million, five hundred fifty-three thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 2243 4057 6729 11215 12171 20187 20285 33645 36513 60855 100935 182565 255473 766419 1277365 2299257 3832095 9099851 11496285 27299553 45499255 81898659 136497765 409493295 573025939 1036453961 1719077817 2865129695 3109361883 5157233451 5182269805 8595389085 9328085649 15546809415 25786167255 46640428245 2324766234523 6974298703569 11623831172615 20922896110707 34871493517845 104614480553535