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12263012014344 = 233713149191197299
BaseRepresentation
bin1011001001110011010001…
…1110011001100100001000
31121102022222101120202221220
42302130310132121210020
53101404122033424334
642025314442202040
72403654604156110
oct262346436314410
947368871522856
1012263012014344
1139a879464a013
1214607a1ab3320
136ac521498b40
143057665a6040
15163ec8261449
hexb2734799908

12263012014344 has 256 divisors, whose sum is σ = 38184652800000. Its totient is φ = 3195659381760.

The previous prime is 12263012014343. The next prime is 12263012014387. The reversal of 12263012014344 is 44341021036221.

It is not an unprimeable number, because it can be changed into a prime (12263012014343) 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, 62055807 + ... + 62253105.

It is an arithmetic number, because the mean of its divisors is an integer number (149158800000).

Almost surely, 212263012014344 is an apocalyptic number.

12263012014344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263012014344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19092326400000).

12263012014344 is an abundant number, since it is smaller than the sum of its proper divisors (25921640785656).

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

12263012014344 is a wasteful number, since it uses less digits than its factorization.

12263012014344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197668 (or 197664 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 12263012014344 in words is "twelve trillion, two hundred sixty-three billion, twelve million, fourteen thousand, three hundred forty-four".