Search a number
-
+
54551433415545 = 33511371209782073
BaseRepresentation
bin11000110011101001111101…
…10011111000101101111001
321011011001210012002220102000
430121310332303320231321
524122232313423244140
6312004325455131213
714330132242214463
oct1431647663705571
9234131705086360
1054551433415545
1116422151012550
126150524813b09
132459241387471
14d684369cb133
1564901bd88a30
hex319d3ecf8b79

54551433415545 has 128 divisors (see below), whose sum is σ = 108666396218880. Its totient is φ = 25731896279040.

The previous prime is 54551433415537. The next prime is 54551433415547.

54551433415545 is a `hidden beast` number, since 5 + 4 + 5 + 5 + 1 + 43 + 3 + 41 + 554 + 5 = 666.

54551433415545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54551433415545 - 23 = 54551433415537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54551433415491 and 54551433415500.

It is not an unprimeable number, because it can be changed into a prime (54551433415547) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 664628629 + ... + 664710701.

It is an arithmetic number, because the mean of its divisors is an integer number (848956220460).

Almost surely, 254551433415545 is an apocalyptic number.

54551433415545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54551433415545 is a deficient number, since it is larger than the sum of its proper divisors (54114962803335).

54551433415545 is a wasteful number, since it uses less digits than its factorization.

54551433415545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94232 (or 94226 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

The spelling of 54551433415545 in words is "fifty-four trillion, five hundred fifty-one billion, four hundred thirty-three million, four hundred fifteen thousand, five hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 37 45 55 99 111 135 165 185 297 333 407 495 555 999 1221 1485 1665 2035 3663 4995 6105 10989 12097 18315 36291 54945 60485 82073 108873 133067 181455 246219 326619 399201 410365 447589 544365 665335 738657 902803 1197603 1231095 1342767 1633095 1996005 2215971 2237945 2708409 3036701 3592809 3693285 4028301 4514015 4923479 5988015 6713835 8125227 9110103 11079855 12084903 13542045 14770437 15183505 17964045 20141505 24375681 24617395 27330309 33403711 40626135 44311311 45550515 60424515 73852185 81990927 100211133 121878405 132933933 136651545 167018555 221556555 300633399 409954635 501055665 664669665 901900197 992837081 1503166995 2978511243 4509500985 4964185405 8935533729 10921207891 14892556215 26806601187 32763623673 36734971997 44677668645 54606039455 98290871019 110204915991 134033005935 163818118365 183674859985 294872613057 330614747973 404084691967 491454355095 551024579955 991844243919 1212254075901 1474363065285 1653073739865 2020423459835 3636762227703 4959221219595 6061270379505 10910286683109 18183811138515 54551433415545