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12286228514742 = 2337132500250003
BaseRepresentation
bin1011001011001001110001…
…0010010100011110110110
31121111112220101112012021000
42302302130102110132312
53102244143444432432
642044114312304130
72405436124155150
oct262623422243666
947445811465230
1012286228514742
113a07618771426
1214651a10a2046
136b178136b840
14306929b2dad0
151648d658957c
hexb2c9c4947b6

12286228514742 has 64 divisors (see below), whose sum is σ = 33603360053760. Its totient is φ = 3240324002592.

The previous prime is 12286228514737. The next prime is 12286228514809. The reversal of 12286228514742 is 24741582268221.

12286228514742 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 62 + 28 + 514 + 7 + 42 = 666.

12286228514742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122862285147422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1250120088 + ... + 1250129915.

It is an arithmetic number, because the mean of its divisors is an integer number (525052500840).

Almost surely, 212286228514742 is an apocalyptic number.

12286228514742 is an abundant number, since it is smaller than the sum of its proper divisors (21317131539018).

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

12286228514742 is a wasteful number, since it uses less digits than its factorization.

12286228514742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500250034 (or 2500250028 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 12286228514742 in words is "twelve trillion, two hundred eighty-six billion, two hundred twenty-eight million, five hundred fourteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 2457 4914 2500250003 5000500006 7500750009 15001500018 17501750021 22502250027 32503250039 35003500042 45004500054 52505250063 65006500078 67506750081 97509750117 105010500126 135013500162 157515750189 195019500234 227522750273 292529250351 315031500378 455045500546 472547250567 585058500702 682568250819 877587751053 945094501134 1365136501638 1755175502106 2047704752457 4095409504914 6143114257371 12286228514742