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130627960848 = 243374111072
BaseRepresentation
bin111100110101000001…
…0001000000000010000
3110111011200112221222000
41321222002020000100
54120011224221343
6140002030314000
712303040230000
oct1715202100020
9414150487860
10130627960848
1150443095440
1221397058900
13c41a0101b8
146472a50000
1535e8055ed3
hex1e6a088010

130627960848 has 600 divisors, whose sum is σ = 481682816160. Its totient is φ = 33612243840.

The previous prime is 130627960829. The next prime is 130627960861. The reversal of 130627960848 is 848069726031.

130627960848 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 27 + 9 + 608 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130627960794 and 130627960803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1220822011 + ... + 1220822117.

Almost surely, 2130627960848 is an apocalyptic number.

130627960848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130627960848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240841408080).

130627960848 is an abundant number, since it is smaller than the sum of its proper divisors (351054855312).

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

130627960848 is an equidigital number, since it uses as much as digits as its factorization.

130627960848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 130627960848 in words is "one hundred thirty billion, six hundred twenty-seven million, nine hundred sixty thousand, eight hundred forty-eight".