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130353266736 = 243371113192971
BaseRepresentation
bin111100101100110101…
…0010000000000110000
3110110110112200001111000
41321121222100000300
54113430414013421
6135514454522000
712263163325350
oct1713152200060
9413415601430
10130353266736
1150312025710
122131b066300
13c3a51328c4
146448386b60
1535cdd95226
hex1e59a90030

130353266736 has 320 divisors, whose sum is σ = 466998681600. Its totient is φ = 33820934400.

The previous prime is 130353266707. The next prime is 130353266737. The reversal of 130353266736 is 637662353031.

130353266736 is a `hidden beast` number, since 1 + 3 + 0 + 353 + 266 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130353266691 and 130353266700.

It is not an unprimeable number, because it can be changed into a prime (130353266737) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43873731 + ... + 43876701.

It is an arithmetic number, because the mean of its divisors is an integer number (1459370880).

Almost surely, 2130353266736 is an apocalyptic number.

130353266736 is a gapful number since it is divisible by the number (16) 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 130353266736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233499340800).

130353266736 is an abundant number, since it is smaller than the sum of its proper divisors (336645414864).

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

130353266736 is a wasteful number, since it uses less digits than its factorization.

130353266736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 130353266736 in words is "one hundred thirty billion, three hundred fifty-three million, two hundred sixty-six thousand, seven hundred thirty-six".