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130085776660 = 22574389242797
BaseRepresentation
bin111100100100110110…
…1110110110100010100
3110102202220100011002011
41321021231312310110
54112403424323120
6135432141354004
712253434600040
oct1711155666424
9412686304064
10130085776660
1150195036434
1221265568904
13c3618a8358
146420a37020
1535b5658c5a
hex1e49b76d14

130085776660 has 96 divisors (see below), whose sum is σ = 323057306880. Its totient is φ = 43073952768.

The previous prime is 130085776643. The next prime is 130085776663. The reversal of 130085776660 is 66677580031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130085776663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414382 + ... + 657178.

It is an arithmetic number, because the mean of its divisors is an integer number (3365180280).

Almost surely, 2130085776660 is an apocalyptic number.

130085776660 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 130085776660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161528653440).

130085776660 is an abundant number, since it is smaller than the sum of its proper divisors (192971530220).

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

130085776660 is a wasteful number, since it uses less digits than its factorization.

130085776660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242945 (or 242943 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 130085776660 in words is "one hundred thirty billion, eighty-five million, seven hundred seventy-six thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 89 140 172 178 215 301 356 430 445 602 623 860 890 1204 1246 1505 1780 2492 3010 3115 3827 6020 6230 7654 12460 15308 19135 26789 38270 53578 76540 107156 133945 242797 267890 485594 535780 971188 1213985 1699579 2427970 3399158 4855940 6798316 8497895 10440271 16995790 20880542 21608933 33991580 41761084 43217866 52201355 73081897 86435732 104402710 108044665 146163794 151262531 208805420 216089330 292327588 302525062 365409485 432178660 605050124 730818970 756312655 929184119 1461637940 1512625310 1858368238 3025250620 3716736476 4645920595 6504288833 9291841190 13008577666 18583682380 26017155332 32521444165 65042888330 130085776660