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12328083626214 = 2353523413917909
BaseRepresentation
bin1011001101100101101100…
…0010111001100011100110
31121122112221100022011021210
42303121123002321203212
53103440403402014324
642115235440452250
72411450255560206
oct263313302714346
947575840264253
1012328083626214
113a233468a6144
12147132231a086
136b56c1868ca5
1430897a83c406
15165a35d63d29
hexb365b0b98e6

12328083626214 has 64 divisors (see below), whose sum is σ = 25176897964800. Its totient is φ = 4022920167552.

The previous prime is 12328083626191. The next prime is 12328083626237. The reversal of 12328083626214 is 41262638082321.

It is an interprime number because it is at equal distance from previous prime (12328083626191) and next prime (12328083626237).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688364692 + ... + 688382600.

It is an arithmetic number, because the mean of its divisors is an integer number (393389030700).

Almost surely, 212328083626214 is an apocalyptic number.

12328083626214 is an abundant number, since it is smaller than the sum of its proper divisors (12848814338586).

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

12328083626214 is a wasteful number, since it uses less digits than its factorization.

12328083626214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22629.

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 12328083626214 in words is "twelve trillion, three hundred twenty-eight billion, eighty-three million, six hundred twenty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 53 106 159 318 523 1046 1569 3138 4139 8278 12417 17909 24834 27719 35818 53727 55438 83157 107454 166314 219367 438734 658101 949177 1316202 1898354 2164697 2847531 4329394 5695062 6494091 9366407 12988182 18732814 28099221 56198442 74125351 114728941 148250702 222376053 229457882 344186823 444752106 496419571 688373646 992839142 1489258713 2978517426 3928643603 7857287206 11785930809 23571861618 38767558573 77535117146 116302675719 232605351438 2054680604369 4109361208738 6164041813107 12328083626214