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12159352980 = 2232582192
BaseRepresentation
bin10110101001100000…
…10000000010010100
31011101101222010112200
423110300100002110
5144400243243410
65330321044500
7610214536455
oct132460200224
934341863480
1012159352980
11517a701955
122434186730
1311ba189928
14834c5d12c
154b274b3c0
hex2d4c10094

12159352980 has 54 divisors (see below), whose sum is σ = 36887858826. Its totient is φ = 3242099616.

The previous prime is 12159352979. The next prime is 12159353009. The reversal of 12159352980 is 8925395121.

12159352980 is a `hidden beast` number, since 1 + 2 + 1 + 593 + 52 + 9 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9727482384 + 2431870596 = 98628^2 + 49314^2 .

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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1475311 + ... + 1483529.

Almost surely, 212159352980 is an apocalyptic number.

12159352980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12159352980 is an abundant number, since it is smaller than the sum of its proper divisors (24728505846).

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

12159352980 is an frugal number, since it uses more digits than its factorization.

12159352980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16453 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

Multiplying 12159352980 by its sum of digits (45), we get a square (547170884100 = 7397102).

12159352980 divided by its sum of digits (45) gives a square (270207844 = 164382).

The spelling of 12159352980 in words is "twelve billion, one hundred fifty-nine million, three hundred fifty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8219 16438 24657 32876 41095 49314 73971 82190 98628 123285 147942 164380 246570 295884 369855 493140 739710 1479420 67551961 135103922 202655883 270207844 337759805 405311766 607967649 675519610 810623532 1013279415 1215935298 1351039220 2026558830 2431870596 3039838245 4053117660 6079676490 12159352980