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130706644680 = 23345476114071
BaseRepresentation
bin111100110111010111…
…0010001111011001000
3110111101011121111220000
41321232232101323020
54120141400112210
6140013521003000
712305014101633
oct1715656217310
9414334544800
10130706644680
11504835477a7
12213b9483460
13c4303cc491
14647d292c1a
1535eede9ac0
hex1e6eb91ec8

130706644680 has 320 divisors, whose sum is σ = 456054382080. Its totient is φ = 33551884800.

The previous prime is 130706644603. The next prime is 130706644699. The reversal of 130706644680 is 86446607031.

It is a happy number.

130706644680 is a `hidden beast` number, since 1 + 3 + 0 + 70 + 66 + 446 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9282045 + ... + 9296115.

It is an arithmetic number, because the mean of its divisors is an integer number (1425169944).

Almost surely, 2130706644680 is an apocalyptic number.

130706644680 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 130706644680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228027191040).

130706644680 is an abundant number, since it is smaller than the sum of its proper divisors (325347737400).

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

130706644680 is a wasteful number, since it uses less digits than its factorization.

130706644680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14202 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 130706644680 in words is "one hundred thirty billion, seven hundred six million, six hundred forty-four thousand, six hundred eighty".