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13554840744 = 23326110130557
BaseRepresentation
bin11001001111110111…
…00111010010101000
31021222122211020212200
430213323213102220
5210230014400434
610121011140200
7656621150064
oct144773472250
937878736780
1013554840744
115826399525
1227635a4660
131380318633
14928318aa4
15544eee199
hex327ee74a8

13554840744 has 96 divisors (see below), whose sum is σ = 37683514440. Its totient is φ = 4400064000.

The previous prime is 13554840743. The next prime is 13554840751. The reversal of 13554840744 is 44704845531.

13554840744 is a `hidden beast` number, since 1 + 35 + 548 + 4 + 0 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8452595844 + 5102244900 = 91938^2 + 71430^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13554840744.

It is not an unprimeable number, because it can be changed into a prime (13554840743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428314 + ... + 458870.

Almost surely, 213554840744 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 13554840744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18841757220).

13554840744 is an abundant number, since it is smaller than the sum of its proper divisors (24128673696).

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

13554840744 is a wasteful number, since it uses less digits than its factorization.

13554840744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30731 (or 30724 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 13554840744 in words is "thirteen billion, five hundred fifty-four million, eight hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 101 122 183 202 244 303 366 404 488 549 606 732 808 909 1098 1212 1464 1818 2196 2424 3636 4392 6161 7272 12322 18483 24644 30557 36966 49288 55449 61114 73932 91671 110898 122228 147864 183342 221796 244456 275013 366684 443592 550026 733368 1100052 1863977 2200104 3086257 3727954 5591931 6172514 7455908 9258771 11183862 12345028 14911816 16775793 18517542 22367724 24690056 27776313 33551586 37035084 44735448 55552626 67103172 74070168 111105252 134206344 188261677 222210504 376523354 564785031 753046708 1129570062 1506093416 1694355093 2259140124 3388710186 4518280248 6777420372 13554840744