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12180716880 = 2435291750103
BaseRepresentation
bin10110101100000011…
…01111110101010000
31011102220011112022020
423112001233311100
5144421230420010
65332403011440
7610564246053
oct132601576520
934386145266
1012180716880
115190773972
12243b369b80
1311c1729aa7
14837a20a9a
154b456b470
hex2d606fd50

12180716880 has 80 divisors (see below), whose sum is σ = 39062321280. Its totient is φ = 3136182784.

The previous prime is 12180716879. The next prime is 12180716929. The reversal of 12180716880 is 8861708121.

12180716880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 868092 + ... + 882011.

It is an arithmetic number, because the mean of its divisors is an integer number (488279016).

Almost surely, 212180716880 is an apocalyptic number.

12180716880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12180716880 is an abundant number, since it is smaller than the sum of its proper divisors (26881604400).

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

12180716880 is a wasteful number, since it uses less digits than its factorization.

12180716880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750148 (or 1750142 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

The spelling of 12180716880 in words is "twelve billion, one hundred eighty million, seven hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 6960 1750103 3500206 5250309 7000412 8750515 10500618 14000824 17501030 21001236 26251545 28001648 35002060 42002472 50752987 52503090 70004120 84004944 101505974 105006180 140008240 152258961 203011948 210012360 253764935 304517922 406023896 420024720 507529870 609035844 761294805 812047792 1015059740 1218071688 1522589610 2030119480 2436143376 3045179220 4060238960 6090358440 12180716880