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1343564550864 = 243312748895009
BaseRepresentation
bin10011100011010010101…
…100000001001011010000
311202102222022201221021000
4103203102230001023100
5134003110011111424
62505120335102000
7166032532151634
oct23432254011320
94672868657230
101343564550864
11478891187038
12198485071900
139990b7c77a3
1449059318dc4
1524e3881a3c9
hex138d2b012d0

1343564550864 has 160 divisors (see below), whose sum is σ = 3888465408000. Its totient is φ = 444148862976.

The previous prime is 1343564550803. The next prime is 1343564550869. The reversal of 1343564550864 is 4680554653431.

1343564550864 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 5 + 6 + 4 + 550 + 86 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1343564550864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1343564550869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268227592 + ... + 268232600.

It is an arithmetic number, because the mean of its divisors is an integer number (24302908800).

Almost surely, 21343564550864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343564550864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944232704000).

1343564550864 is an abundant number, since it is smaller than the sum of its proper divisors (2544900857136).

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

1343564550864 is a wasteful number, since it uses less digits than its factorization.

1343564550864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 1343564550864 in words is "one trillion, three hundred forty-three billion, five hundred sixty-four million, five hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 4889 5009 6096 6858 9144 9778 10018 13716 14667 15027 18288 19556 20036 27432 29334 30054 39112 40072 44001 45081 54864 58668 60108 78224 80144 88002 90162 117336 120216 132003 135243 176004 180324 234672 240432 264006 270486 352008 360648 528012 540972 620903 636143 704016 721296 1056024 1081944 1241806 1272286 1862709 1908429 2112048 2163888 2483612 2544572 3725418 3816858 4967224 5089144 5588127 5725287 7450836 7633716 9934448 10178288 11176254 11450574 14901672 15267432 16764381 17175861 22352508 22901148 24489001 29803344 30534864 33528762 34351722 44705016 45802296 48978002 67057524 68703444 73467003 89410032 91604592 97956004 134115048 137406888 146934006 195912008 220401009 268230096 274813776 293868012 391824016 440802018 587736024 661203027 881604036 1175472048 1322406054 1763208072 2644812108 3110103127 3526416144 5289624216 6220206254 9330309381 10579248432 12440412508 18660618762 24880825016 27990928143 37321237524 49761650032 55981856286 74642475048 83972784429 111963712572 149284950096 167945568858 223927425144 335891137716 447854850288 671782275432 1343564550864