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54540004545 = 325131921012557
BaseRepresentation
bin110010110010110101…
…100110110011000001
312012202222122022001100
4302302311212303001
51343144220121140
641015541325013
73640360250415
oct626265466301
9165688568040
1054540004545
1121148457724
12a6a1406769
1351b2512150
1428d5690d45
151643236530
hexcb2d66cc1

54540004545 has 144 divisors (see below), whose sum is σ = 108554623632. Its totient is φ = 25175577600.

The previous prime is 54540004543. The next prime is 54540004567.

54540004545 is nontrivially palindromic in base 10.

54540004545 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4210704 + 54535793841 = 2052^2 + 233529^2 .

It is not a de Polignac number, because 54540004545 - 21 = 54540004543 is a prime.

It is a super-2 number, since 2×545400045452 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54540004543) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21328407 + ... + 21330963.

It is an arithmetic number, because the mean of its divisors is an integer number (753851553).

Almost surely, 254540004545 is an apocalyptic number.

It is an amenable number.

54540004545 is a deficient number, since it is larger than the sum of its proper divisors (54014619087).

54540004545 is a wasteful number, since it uses less digits than its factorization.

54540004545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 5454000 and 4545, that added together give a palindrome (5458545).

The spelling of 54540004545 in words is "fifty-four billion, five hundred forty million, four thousand, five hundred forty-five".

Divisors: 1 3 5 9 13 15 19 39 45 57 65 95 101 117 171 195 247 285 303 361 505 585 741 855 909 1083 1235 1313 1515 1805 1919 2223 2557 3249 3705 3939 4545 4693 5415 5757 6565 7671 9595 11115 11817 12785 14079 16245 17271 19695 23013 23465 24947 28785 33241 36461 38355 42237 48583 59085 70395 74841 86355 99723 109383 115065 124735 145749 166205 182305 211185 224523 242915 258257 299169 328149 374205 437247 473993 498615 546915 631579 728745 774771 923077 1122615 1291285 1421979 1495845 1640745 1894737 2186235 2324313 2369965 2769231 3157895 3357341 3873855 4265937 4615385 4906883 5684211 7109895 8307693 9473685 10072023 11621565 12000001 13846155 14720649 16786705 21329685 24534415 28421055 30216069 36000003 41538465 44161947 50360115 60000005 63789479 73603245 93230777 108000009 151080345 180000015 191368437 220809735 279692331 318947395 466153885 540000045 574105311 839076993 956842185 1212000101 1398461655 2870526555 3636000303 4195384965 6060000505 10908000909 18180001515 54540004545