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54215433451245 = 351119731371729187
BaseRepresentation
bin11000101001111000000111…
…01001101111011011101101
321002221221111202220012120210
430110330003221233123231
524101231201430414440
6311150120513533033
714263635660514023
oct1424740351573355
9232857452805523
1054215433451245
11163026aa876240
1260b7392b74179
13243365510b041
14d56080640713
15640403e73a80
hex314f03a6f6ed

54215433451245 has 128 divisors (see below), whose sum is σ = 101712774850560. Its totient is φ = 24382352609280.

The previous prime is 54215433451237. The next prime is 54215433451279.

It is a happy number.

54215433451245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54215433451245 - 23 = 54215433451237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54215433451194 and 54215433451203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30488542 + ... + 32217728.

It is an arithmetic number, because the mean of its divisors is an integer number (794631053520).

Almost surely, 254215433451245 is an apocalyptic number.

54215433451245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54215433451245 is a deficient number, since it is larger than the sum of its proper divisors (47497341399315).

54215433451245 is a wasteful number, since it uses less digits than its factorization.

54215433451245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729435.

The product of its digits is 5760000, while the sum is 48.

It can be divided in two parts, 5421543 and 3451245, that added together give a palindrome (8872788).

The spelling of 54215433451245 in words is "fifty-four trillion, two hundred fifteen billion, four hundred thirty-three million, four hundred fifty-one thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 19 33 55 57 73 95 137 165 209 219 285 365 411 627 685 803 1045 1095 1387 1507 2055 2409 2603 3135 4015 4161 4521 6935 7535 7809 10001 12045 13015 15257 20805 22605 28633 30003 39045 45771 50005 76285 85899 110011 143165 150015 190019 228855 330033 429495 550055 570057 950095 1650165 1729187 2090209 2850285 5187561 6270627 8645935 10451045 19021057 25937805 31353135 32854553 57063171 95105285 98563659 126230651 164272765 236898619 285315855 361400083 378691953 492818295 631153255 710695857 1084200249 1184493095 1388537161 1807000415 1893459765 2398382369 2605884809 3553479285 4165611483 4501073761 5421001245 6942685805 7195147107 7817654427 11991911845 13029424045 13503221283 17293599187 20828057415 22505368805 26382206059 35975735535 39088272135 49511811371 51880797561 67516106415 79146618177 86467995935 131911030295 148535434113 190229591057 247559056855 259403987805 328578384553 395733090885 570688773171 742677170565 951147955285 985735153659 1642891922765 2853443865855 3614362230083 4928675768295 10843086690249 18071811150415 54215433451245