Search a number
-
+
130602843296640 = 27375111317131293
BaseRepresentation
bin11101101100100001011000…
…000101001101001110000000
3122010102111202201000210000000
4131230201120011031032000
5114104244110340443030
61141434041250000000
736336513131163201
oct3554413005151600
9563374681023000
10130602843296640
113868339a260660
1212793857b76000
1357b4a452bbb30
1424372d5cd75a8
15101742dd54860
hex76c85814d380

130602843296640 has 4096 divisors, whose sum is σ = 588936299212800. Its totient is φ = 27203508633600.

The previous prime is 130602843296591. The next prime is 130602843296687. The reversal of 130602843296640 is 46692348206031.

130602843296640 is a `hidden beast` number, since 1 + 3 + 0 + 60 + 2 + 8 + 432 + 96 + 64 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 445743492334 + ... + 445743492626.

It is an arithmetic number, because the mean of its divisors is an integer number (143783276175).

Almost surely, 2130602843296640 is an apocalyptic number.

130602843296640 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 130602843296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294468149606400).

130602843296640 is an abundant number, since it is smaller than the sum of its proper divisors (458333455916160).

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

130602843296640 is a wasteful number, since it uses less digits than its factorization.

130602843296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 130602843296640 in words is "one hundred thirty trillion, six hundred two billion, eight hundred forty-three million, two hundred ninety-six thousand, six hundred forty".