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12388365143406 = 23271950391026941
BaseRepresentation
bin1011010001000110010000…
…0110101000110101101110
31121212022112110121112000200
42310101210012220311232
53110432332434042111
642203045242534330
72416013144164560
oct264214406506556
947768473545020
1012388365143406
113a4697018323a
121480b465073a6
136bb2aa7222a5
1430b858853330
151673b3174256
hexb44641a8d6e

12388365143406 has 96 divisors (see below), whose sum is σ = 32296915123200. Its totient is φ = 3352572970560.

The previous prime is 12388365143369. The next prime is 12388365143411. The reversal of 12388365143406 is 60434156388321.

12388365143406 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 83 + 6 + 514 + 3 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11549896 + ... + 12576836.

It is an arithmetic number, because the mean of its divisors is an integer number (336426199200).

Almost surely, 212388365143406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12388365143406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16148457561600).

12388365143406 is an abundant number, since it is smaller than the sum of its proper divisors (19908549979794).

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

12388365143406 is a wasteful number, since it uses less digits than its factorization.

12388365143406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032014 (or 1032011 counting only the distinct ones).

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

The spelling of 12388365143406 in words is "twelve trillion, three hundred eighty-eight billion, three hundred sixty-five million, one hundred forty-three thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 5039 10078 15117 30234 35273 45351 70546 90702 95741 105819 191482 211638 287223 317457 574446 634914 670187 861669 1026941 1340374 1723338 2010561 2053882 3080823 4021122 6031683 6161646 7188587 9242469 12063366 14377174 18484938 19511879 21565761 39023758 43131522 58535637 64697283 117071274 129394566 136583153 175606911 273166306 351213822 409749459 819498918 1229248377 2458496754 5174755699 10349511398 15524267097 31048534194 36223289893 46572801291 72446579786 93145602582 98320358281 108669869679 196640716562 217339739358 294961074843 326009609037 589922149686 652019218074 688242507967 884883224529 1376485015934 1769766449058 2064727523901 4129455047802 6194182571703 12388365143406