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130278606336 = 29352353859
BaseRepresentation
bin111100101010100110…
…1011100011000000000
3110110021100011220200000
41321111031130120000
54113302310400321
6135503230400000
712261265611504
oct1712515343000
9413240156600
10130278606336
11502839711aa
12212ba060000
13c392821a58
14643c4b0304
1535c7548826
hex1e5535c600

130278606336 has 480 divisors, whose sum is σ = 415030936320. Its totient is φ = 40706924544.

The previous prime is 130278606317. The next prime is 130278606343. The reversal of 130278606336 is 633606872031.

130278606336 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 7 + 8 + 6 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130278606291 and 130278606300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151662675 + ... + 151663533.

It is an arithmetic number, because the mean of its divisors is an integer number (864647784).

Almost surely, 2130278606336 is an apocalyptic number.

130278606336 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 130278606336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207515468160).

130278606336 is an abundant number, since it is smaller than the sum of its proper divisors (284752329984).

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

130278606336 is an frugal number, since it uses more digits than its factorization.

130278606336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 130278606336 in words is "one hundred thirty billion, two hundred seventy-eight million, six hundred six thousand, three hundred thirty-six".