Search a number
-
+
130462178580 = 2234580532209
BaseRepresentation
bin111100110000000100…
…1101101110100010100
3110110202010121100110000
41321200021231310110
54114141304203310
6135533345131300
712265655135526
oct1714011556424
9413663540400
10130462178580
11503685537a8
122134b629b30
13c3c1876896
146458a17a16
1535d870a4c0
hex1e6026dd14

130462178580 has 60 divisors (see below), whose sum is σ = 409264691220. Its totient is φ = 34789913856.

The previous prime is 130462178573. The next prime is 130462178603. The reversal of 130462178580 is 85871264031.

130462178580 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 62 + 1 + 7 + 8 + 580 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72579592836 + 57882585744 = 269406^2 + 240588^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40264485 + ... + 40267724.

It is an arithmetic number, because the mean of its divisors is an integer number (6821078187).

Almost surely, 2130462178580 is an apocalyptic number.

130462178580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130462178580 is an abundant number, since it is smaller than the sum of its proper divisors (278802512640).

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

130462178580 is a wasteful number, since it uses less digits than its factorization.

130462178580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80532230 (or 80532219 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 130462178580 in words is "one hundred thirty billion, four hundred sixty-two million, one hundred seventy-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 80532209 161064418 241596627 322128836 402661045 483193254 724789881 805322090 966386508 1207983135 1449579762 1610644180 2174369643 2415966270 2899159524 3623949405 4348739286 4831932540 6523108929 7247898810 8697478572 10871848215 13046217858 14495797620 21743696430 26092435716 32615544645 43487392860 65231089290 130462178580