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130692555648 = 27331092331489
BaseRepresentation
bin111100110110111100…
…0100010001110000000
3110111100012002201101000
41321231320202032000
54120124243240043
6140012255012000
712304453252014
oct1715570421600
9414305081330
10130692555648
11504765a4476
12213b480a000
13c42a508685
14647b466544
1535eda652d3
hex1e6de22380

130692555648 has 256 divisors, whose sum is σ = 391196520000. Its totient is φ = 42950393856.

The previous prime is 130692555641. The next prime is 130692555649. The reversal of 130692555648 is 846555296031.

130692555648 is a `hidden beast` number, since 1 + 3 + 0 + 69 + 25 + 556 + 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 = 130692555594 and 130692555603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130692555641) 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 31 ways as a sum of consecutive naturals, for example, 87771288 + ... + 87772776.

Almost surely, 2130692555648 is an apocalyptic number.

130692555648 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 130692555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195598260000).

130692555648 is an abundant number, since it is smaller than the sum of its proper divisors (260503964352).

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

130692555648 is a wasteful number, since it uses less digits than its factorization.

130692555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 130692555648 in words is "one hundred thirty billion, six hundred ninety-two million, five hundred fifty-five thousand, six hundred forty-eight".