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12486468144420 = 2232569369267469
BaseRepresentation
bin1011010110110011101101…
…1111111000110100100100
31122012200202102201022212200
42311230323133320310210
53114034241321110140
642320112042414500
72426055215013024
oct265547337706444
948180672638780
1012486468144420
113a84532822986
121497b64b01430
136c761320c10a
143124c398ba84
15169c05a95030
hexb5b3b7f8d24

12486468144420 has 36 divisors (see below), whose sum is σ = 37875620038620. Its totient is φ = 3329724838464.

The previous prime is 12486468144419. The next prime is 12486468144559. The reversal of 12486468144420 is 2444186468421.

12486468144420 is a `hidden beast` number, since 1 + 2 + 4 + 86 + 46 + 81 + 4 + 442 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2100505273344 + 10385962871076 = 1449312^2 + 3222726^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34684633555 + ... + 34684633914.

Almost surely, 212486468144420 is an apocalyptic number.

12486468144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12486468144420 is an abundant number, since it is smaller than the sum of its proper divisors (25389151894200).

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

12486468144420 is a wasteful number, since it uses less digits than its factorization.

12486468144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69369267484 (or 69369267479 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 12486468144420 in words is "twelve trillion, four hundred eighty-six billion, four hundred sixty-eight million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 69369267469 138738534938 208107802407 277477069876 346846337345 416215604814 624323407221 693692674690 832431209628 1040539012035 1248646814442 1387385349380 2081078024070 2497293628884 3121617036105 4162156048140 6243234072210 12486468144420