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130156252704 = 2533150643811
BaseRepresentation
bin111100100110111101…
…0101100111000100000
3110102221210221201001000
41321031322230320200
54113030000041304
6135443140112000
712255251615412
oct1711572547040
9412853851030
10130156252704
11502208a20a5
1221285095600
13c37338275a
14642a1409b2
1535bb92a939
hex1e4deace20

130156252704 has 48 divisors (see below), whose sum is σ = 379622406240. Its totient is φ = 43385417280.

The previous prime is 130156252673. The next prime is 130156252727. The reversal of 130156252704 is 407252651031.

130156252704 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 5 + 625 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75321042 + ... + 75322769.

It is an arithmetic number, because the mean of its divisors is an integer number (7908800130).

Almost surely, 2130156252704 is an apocalyptic number.

It is an amenable number.

130156252704 is an abundant number, since it is smaller than the sum of its proper divisors (249466153536).

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

130156252704 is a wasteful number, since it uses less digits than its factorization.

130156252704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150643830 (or 150643816 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 130156252704 in words is "one hundred thirty billion, one hundred fifty-six million, two hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 150643811 301287622 451931433 602575244 903862866 1205150488 1355794299 1807725732 2410300976 2711588598 3615451464 4067382897 4820601952 5423177196 7230902928 8134765794 10846354392 14461805856 16269531588 21692708784 32539063176 43385417568 65078126352 130156252704