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12286736320 = 265160723893
BaseRepresentation
bin10110111000101100…
…01011011111000000
31011201021122212122011
423130112023133000
5200130401030240
65351111222304
7613322351455
oct133426133700
934637585564
1012286736320
1152355a6941
12246a977994
13120a69a3a1
14847b3b82c
154bda0e6ea
hex2dc58b7c0

12286736320 has 56 divisors (see below), whose sum is σ = 29277222624. Its totient is φ = 4911430656.

The previous prime is 12286736311. The next prime is 12286736333. The reversal of 12286736320 is 2363768221.

12286736320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 7 ways as a sum of consecutive naturals, for example, 502294 + ... + 526186.

Almost surely, 212286736320 is an apocalyptic number.

12286736320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12286736320 is an abundant number, since it is smaller than the sum of its proper divisors (16990486304).

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

12286736320 is a wasteful number, since it uses less digits than its factorization.

12286736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25517 (or 25507 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 12286736320 in words is "twelve billion, two hundred eighty-six million, seven hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1607 3214 6428 8035 12856 16070 23893 25712 32140 47786 51424 64280 95572 102848 119465 128560 191144 238930 257120 382288 477860 514240 764576 955720 1529152 1911440 3822880 7645760 38396051 76792102 153584204 191980255 307168408 383960510 614336816 767921020 1228673632 1535842040 2457347264 3071684080 6143368160 12286736320