Search a number
-
+
130880655360 = 212355713172
BaseRepresentation
bin111100111100100011…
…0000101000000000000
3110111211022001011200000
41321321012011000000
54121020421432420
6140043054400000
712312226133460
oct1717106050000
9414738034600
10130880655360
1150562799584
1221447800000
13c45a487190
14649842bba0
15361031d690
hex1e79185000

130880655360 has 1872 divisors, whose sum is σ = 615100327296. Its totient is φ = 25990004736.

The previous prime is 130880655359. The next prime is 130880655361. The reversal of 130880655360 is 63556088031.

130880655360 is a `hidden beast` number, since 1 + 30 + 8 + 8 + 0 + 6 + 553 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (130880655359) and next prime (130880655361).

It is a tau number, because it is divible by the number of its divisors (1872).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130880655361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7698862072 + ... + 7698862088.

Almost surely, 2130880655360 is an apocalyptic number.

130880655360 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 130880655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307550163648).

130880655360 is an abundant number, since it is smaller than the sum of its proper divisors (484219671936).

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

130880655360 is an equidigital number, since it uses as much as digits as its factorization.

130880655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 130880655360 in words is "one hundred thirty billion, eight hundred eighty million, six hundred fifty-five thousand, three hundred sixty".