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480136703823 = 32717538458621
BaseRepresentation
bin1101111110010100110…
…00001010111101001111
31200220022112220201101100
412333022120022331033
530331304444010243
61004323255514143
746455143434020
oct6771230127517
91626275821340
10480136703823
1117569671a047
1279078988953
1336379b9809a
141934b164c47
15c751dbc0d3
hex6fca60af4f

480136703823 has 48 divisors (see below), whose sum is σ = 855065180736. Its totient is φ = 253352586240.

The previous prime is 480136703819. The next prime is 480136703831. The reversal of 480136703823 is 328307631084.

480136703823 is a `hidden beast` number, since 480 + 136 + 7 + 0 + 38 + 2 + 3 = 666.

It is not a de Polignac number, because 480136703823 - 22 = 480136703819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480136703863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172548 + ... + 4286073.

It is an arithmetic number, because the mean of its divisors is an integer number (17813857932).

Almost surely, 2480136703823 is an apocalyptic number.

480136703823 is a deficient number, since it is larger than the sum of its proper divisors (374928476913).

480136703823 is a wasteful number, since it uses less digits than its factorization.

480136703823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8458704 (or 8458701 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 480136703823 in words is "four hundred eighty billion, one hundred thirty-six million, seven hundred three thousand, eight hundred twenty-three".

Divisors: 1 3 7 9 17 21 51 53 63 119 153 159 357 371 477 901 1071 1113 2703 3339 6307 8109 18921 56763 8458621 25375863 59210347 76127589 143796557 177631041 431389671 448306913 532893123 1006575899 1294169013 1344920739 3019727697 3138148391 4034762217 7621217521 9059183091 9414445173 22863652563 28243335519 53348522647 68590957689 160045567941 480136703823