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54205443413004 = 223132211312649561
BaseRepresentation
bin11000101001100101100000…
…01100110001010000001100
321002220222201112212200102110
430110302300030301100030
524101100222003204004
6311141345324424020
714263133263552062
oct1424626014612014
9232828645780373
1054205443413004
11162a9443745694
1260b54653a8010
1324327224cac00
14d557b3952032
1564001bdd2589
hex314cb033140c

54205443413004 has 72 divisors (see below), whose sum is σ = 137021775924432. Its totient is φ = 16670703329280.

The previous prime is 54205443412987. The next prime is 54205443413039. The reversal of 54205443413004 is 40031434450245.

It is a super-3 number, since 3×542054434130043 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2039617 + ... + 10609944.

Almost surely, 254205443413004 is an apocalyptic number.

It is an amenable number.

54205443413004 is an abundant number, since it is smaller than the sum of its proper divisors (82816332511428).

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

54205443413004 is a wasteful number, since it uses less digits than its factorization.

54205443413004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12651707 (or 12651692 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 54205443413004 its reverse (40031434450245), we get a palindrome (94236877863249).

The spelling of 54205443413004 in words is "fifty-four trillion, two hundred five billion, four hundred forty-three million, four hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2113 4226 6339 8452 12678 25356 27469 54938 82407 109876 164814 329628 357097 714194 1071291 1428388 2142582 4285164 12649561 25299122 37948683 50598244 75897366 151794732 164444293 328888586 493332879 657777172 986665758 1973331516 2137775809 4275551618 6413327427 8551103236 12826654854 25653309708 26728522393 53457044786 80185567179 106914089572 160371134358 320742268716 347470791109 694941582218 1042412373327 1389883164436 2084824746654 4169649493308 4517120284417 9034240568834 13551360853251 18068481137668 27102721706502 54205443413004