Search a number
-
+
55381275805344 = 2535911386528917
BaseRepresentation
bin11001001011110011101010…
…10001011000011010100000
321021002101202022222010012220
430211321311101120122200
524224331323101232334
6313441450141351040
714444110433151426
oct1445716521303240
9237071668863186
1055381275805344
1116712081450405
126265319268480
1324b957cb64148
14d9667a491116
156608da020449
hex325e754586a0

55381275805344 has 96 divisors (see below), whose sum is σ = 149148165378240. Its totient is φ = 17986938826752.

The previous prime is 55381275805343. The next prime is 55381275805351. The reversal of 55381275805344 is 44350857218355.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55381275805343) 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, 42624427 + ... + 43904490.

It is an arithmetic number, because the mean of its divisors is an integer number (1553626722690).

Almost surely, 255381275805344 is an apocalyptic number.

It is an amenable number.

55381275805344 is an abundant number, since it is smaller than the sum of its proper divisors (93766889572896).

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

55381275805344 is a wasteful number, since it uses less digits than its factorization.

55381275805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86529102 (or 86529094 counting only the distinct ones).

The product of its (nonzero) digits is 80640000, while the sum is 60.

The spelling of 55381275805344 in words is "fifty-five trillion, three hundred eighty-one billion, two hundred seventy-five million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 113 118 177 226 236 339 354 452 472 678 708 904 944 1356 1416 1808 1888 2712 2832 3616 5424 5664 6667 10848 13334 20001 26668 40002 53336 80004 106672 160008 213344 320016 640032 86528917 173057834 259586751 346115668 519173502 692231336 1038347004 1384462672 2076694008 2768925344 4153388016 5105206103 8306776032 9777767621 10210412206 15315618309 19555535242 20420824412 29333302863 30631236618 39111070484 40841648824 58666605726 61262473236 78222140968 81683297648 117333211452 122524946472 156444281936 163366595296 234666422904 245049892944 312888563872 469332845808 490099785888 576888289639 938665691616 1153776579278 1730664868917 2307553158556 3461329737834 4615106317112 6922659475668 9230212634224 13845318951336 18460425268448 27690637902672 55381275805344