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130843399680 = 2933571943331
BaseRepresentation
bin111100111011011011…
…1111101011000000000
3110111201200221101111000
41321312313331120000
54120431402242210
6140035244052000
712311264355360
oct1716667753000
9414650841430
10130843399680
1150543762864
1221437234000
13c4528417b6
1464934d09a0
15360be0eac0
hex1e76dfd600

130843399680 has 1280 divisors, whose sum is σ = 573848985600. Its totient is φ = 27590492160.

The previous prime is 130843399669. The next prime is 130843399763. The reversal of 130843399680 is 86993348031.

130843399680 is a `hidden beast` number, since 130 + 8 + 43 + 399 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 395297115 + ... + 395297445.

It is an arithmetic number, because the mean of its divisors is an integer number (448319520).

Almost surely, 2130843399680 is an apocalyptic number.

130843399680 is a gapful number since it is divisible by the number (10) 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 130843399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286924492800).

130843399680 is an abundant number, since it is smaller than the sum of its proper divisors (443005585920).

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

130843399680 is a wasteful number, since it uses less digits than its factorization.

130843399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 130843399680 in words is "one hundred thirty billion, eight hundred forty-three million, three hundred ninety-nine thousand, six hundred eighty".