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12343496584104 = 233378163688217
BaseRepresentation
bin1011001110011111000110…
…1110101010101110101000
31121201000201111111112201000
42303213301232222232220
53104213440111142404
642130305105555000
72412534231550410
oct263476156525650
947630644445630
1012343496584104
113a29936033574
121474304045a60
136b6ca9b1260a
143095dd83b640
1516613904b339
hexb39f1baaba8

12343496584104 has 64 divisors (see below), whose sum is σ = 39185703446400. Its totient is φ = 3526713309312.

The previous prime is 12343496584093. The next prime is 12343496584109. The reversal of 12343496584104 is 40148569434321.

12343496584104 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 3 + 49 + 6 + 584 + 10 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12343496584109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4081842597 + ... + 4081845620.

It is an arithmetic number, because the mean of its divisors is an integer number (612276616350).

Almost surely, 212343496584104 is an apocalyptic number.

12343496584104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12343496584104 is an abundant number, since it is smaller than the sum of its proper divisors (26842206862296).

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

12343496584104 is a wasteful number, since it uses less digits than its factorization.

12343496584104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163688239 (or 8163688229 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 12343496584104 in words is "twelve trillion, three hundred forty-three billion, four hundred ninety-six million, five hundred eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 8163688217 16327376434 24491064651 32654752868 48982129302 57145817519 65309505736 73473193953 97964258604 114291635038 146946387906 171437452557 195928517208 220419581859 228583270076 293892775812 342874905114 440839163718 457166540152 514312357671 587785551624 685749810228 881678327436 1028624715342 1371499620456 1542937073013 1763356654872 2057249430684 3085874146026 4114498861368 6171748292052 12343496584104