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130246873848 = 2332713292512731
BaseRepresentation
bin111100101001101010…
…0011001001011111000
3110110012010110201212200
41321103110121023320
54113221144430343
6135500134310200
712260432106120
oct1712324311370
9413163421780
10130246873848
1150267a68103
12212ab4b8360
13c389091330
1464381adc80
1535c487b4d3
hex1e535192f8

130246873848 has 384 divisors, whose sum is σ = 451081612800. Its totient is φ = 33022080000.

The previous prime is 130246873843. The next prime is 130246873849. The reversal of 130246873848 is 848378642031.

130246873848 is a `hidden beast` number, since 1 + 30 + 2 + 468 + 73 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130246873794 and 130246873803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130246873843) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 47690643 + ... + 47693373.

It is an arithmetic number, because the mean of its divisors is an integer number (1174691700).

Almost surely, 2130246873848 is an apocalyptic number.

130246873848 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 130246873848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225540806400).

130246873848 is an abundant number, since it is smaller than the sum of its proper divisors (320834738952).

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

130246873848 is a wasteful number, since it uses less digits than its factorization.

130246873848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3043 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 130246873848 in words is "one hundred thirty billion, two hundred forty-six million, eight hundred seventy-three thousand, eight hundred forty-eight".