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130291089408 = 21434313167
BaseRepresentation
bin111100101010111110…
…1000100000000000000
3110110022012200010020000
41321111331010000000
54113314004330113
6135504354120000
712261506662344
oct1712575040000
9413265603200
10130291089408
115028aa17997
1221302280000
13c3952a289c
14643dddd624
1535c86b2373
hex1e55f44000

130291089408 has 300 divisors, whose sum is σ = 401936274432. Its totient is φ = 42016112640.

The previous prime is 130291089367. The next prime is 130291089419. The reversal of 130291089408 is 804980192031.

130291089408 is a `hidden beast` number, since 130 + 2 + 9 + 108 + 9 + 408 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41138641 + ... + 41141807.

Almost surely, 2130291089408 is an apocalyptic number.

130291089408 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 130291089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200968137216).

130291089408 is an abundant number, since it is smaller than the sum of its proper divisors (271645185024).

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

130291089408 is an frugal number, since it uses more digits than its factorization.

130291089408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3238 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 130291089408 in words is "one hundred thirty billion, two hundred ninety-one million, eighty-nine thousand, four hundred eight".