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130746833028 = 22327797650987
BaseRepresentation
bin111100111000100011…
…1100101100010000100
3110111110222020021221100
41321301013211202010
54120232142124103
6140021514220100
712306012513060
oct1716107454204
9414428207840
10130746833028
11504a41a6909
122140aa24630
13c438830976
146484754aa0
1536036d75a3
hex1e711e5884

130746833028 has 72 divisors (see below), whose sum is σ = 378187572672. Its totient is φ = 37309309632.

The previous prime is 130746832913. The next prime is 130746833029. The reversal of 130746833028 is 820338647031.

130746833028 is a `hidden beast` number, since 1 + 307 + 4 + 6 + 8 + 330 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130746833029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 124650 + ... + 526337.

It is an arithmetic number, because the mean of its divisors is an integer number (5252605176).

Almost surely, 2130746833028 is an apocalyptic number.

130746833028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130746833028 is an abundant number, since it is smaller than the sum of its proper divisors (247440739644).

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

130746833028 is a wasteful number, since it uses less digits than its factorization.

130746833028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651801 (or 651796 counting only the distinct ones).

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

The spelling of 130746833028 in words is "one hundred thirty billion, seven hundred forty-six million, eight hundred thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 797 1594 2391 3188 4782 5579 7173 9564 11158 14346 16737 22316 28692 33474 50211 66948 100422 200844 650987 1301974 1952961 2603948 3905922 4556909 5858883 7811844 9113818 11717766 13670727 18227636 23435532 27341454 41012181 54682908 82024362 164048724 518836639 1037673278 1556509917 2075346556 3113019834 3631856473 4669529751 6226039668 7263712946 9339059502 10895569419 14527425892 18678119004 21791138838 32686708257 43582277676 65373416514 130746833028