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130066074675 = 3352238377847
BaseRepresentation
bin111100100100010001…
…0101100110000110011
3110102201112021012001000
41321020202230300303
54112333403342200
6135430155213043
712253105251615
oct1711042546063
9412645235030
10130066074675
11501849a9aa9
122125aa47183
13c35a79a784
14641c188db5
1535b3a66300
hex1e488acc33

130066074675 has 48 divisors (see below), whose sum is σ = 249324756480. Its totient is φ = 66352540320.

The previous prime is 130066074643. The next prime is 130066074689. The reversal of 130066074675 is 576470660031.

130066074675 is a `hidden beast` number, since 1 + 30 + 0 + 6 + 607 + 4 + 6 + 7 + 5 = 666.

It is not a de Polignac number, because 130066074675 - 25 = 130066074643 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130066074675.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4173399 + ... + 4204448.

It is an arithmetic number, because the mean of its divisors is an integer number (5194265760).

Almost surely, 2130066074675 is an apocalyptic number.

130066074675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130066074675 is a deficient number, since it is larger than the sum of its proper divisors (119258681805).

130066074675 is a wasteful number, since it uses less digits than its factorization.

130066074675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377889 (or 8377878 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 130066074675 in words is "one hundred thirty billion, sixty-six million, seventy-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 115 135 207 225 345 575 621 675 1035 1725 3105 5175 15525 8377847 25133541 41889235 75400623 125667705 192690481 209446175 226201869 377003115 578071443 628338525 963452405 1131009345 1734214329 1885015575 2890357215 4817262025 5202642987 5655046725 8671071645 14451786075 26013214935 43355358225 130066074675