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12346503326157 = 3711134787476377
BaseRepresentation
bin1011001110101010010011…
…1100011110100111001101
31121201022111001012212101210
42303222210330132213031
53104241114322414112
642131523314525033
72413001601463260
oct263524474364715
947638431185353
1012346503326157
113a30139289360
121474a02b96779
136b7368a17820
14309806cbacd7
15166262ec2b3c
hexb3aa4f1e9cd

12346503326157 has 64 divisors (see below), whose sum is σ = 22573104390144. Its totient is φ = 5794435146240.

The previous prime is 12346503326021. The next prime is 12346503326263. The reversal of 12346503326157 is 75162330564321.

It is not a de Polignac number, because 12346503326157 - 211 = 12346503324109 is a prime.

It is a super-2 number, since 2×123465033261572 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346503316157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43597048 + ... + 43879329.

It is an arithmetic number, because the mean of its divisors is an integer number (352704756096).

Almost surely, 212346503326157 is an apocalyptic number.

It is an amenable number.

12346503326157 is a deficient number, since it is larger than the sum of its proper divisors (10226601063987).

12346503326157 is a wasteful number, since it uses less digits than its factorization.

12346503326157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87476458.

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 12346503326157 in words is "twelve trillion, three hundred forty-six billion, five hundred three million, three hundred twenty-six thousand, one hundred fifty-seven".

Divisors: 1 3 7 11 13 21 33 39 47 77 91 141 143 231 273 329 429 517 611 987 1001 1551 1833 3003 3619 4277 6721 10857 12831 20163 47047 141141 87476377 262429131 612334639 962240147 1137192901 1837003917 2886720441 3411578703 4111389719 6735681029 7960350307 12334169157 12509121911 20207043087 23881050921 28779728033 37527365733 45225286909 53448066347 86339184099 87563853377 135675860727 160344199041 262691560131 316577008363 374136464429 587928729817 949731025089 1122409393287 1763786189451 4115501108719 12346503326157