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12156420480 = 27356331469
BaseRepresentation
bin10110101001001010…
…00100000110000000
31011101012110010220120
423110211010012000
5144344020423410
65330134140240
7610150604061
oct132445040600
934335403816
1012156420480
115178a896a6
1224331b1680
1311b96a0c19
148346d8568
154b236c570
hex2d4944180

12156420480 has 64 divisors (see below), whose sum is σ = 38748596400. Its totient is φ = 3241711616.

The previous prime is 12156420473. The next prime is 12156420481. The reversal of 12156420480 is 8402465121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12156420481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3163815 + ... + 3167654.

Almost surely, 212156420480 is an apocalyptic number.

12156420480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12156420480 is an abundant number, since it is smaller than the sum of its proper divisors (26592175920).

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

12156420480 is an equidigital number, since it uses as much as digits as its factorization.

12156420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6331491 (or 6331479 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 12156420480 in words is "twelve billion, one hundred fifty-six million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6331469 12662938 18994407 25325876 31657345 37988814 50651752 63314690 75977628 94972035 101303504 126629380 151955256 189944070 202607008 253258760 303910512 379888140 405214016 506517520 607821024 759776280 810428032 1013035040 1215642048 1519552560 2026070080 2431284096 3039105120 4052140160 6078210240 12156420480