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540454106416 = 24714473334819
BaseRepresentation
bin1111101110101011001…
…00110011010100110000
31220200000011202020122011
413313111210303110300
532323322222401131
61052140423052304
754021646051510
oct7672544632460
91820004666564
10540454106416
111992292873a4
12888b0ba1094
133bc70307153
141c22dc3b840
15e0d241a0b1
hex7dd5933530

540454106416 has 40 divisors (see below), whose sum is σ = 1197547201280. Its totient is φ = 231463047744.

The previous prime is 540454106377. The next prime is 540454106429. The reversal of 540454106416 is 614601454045.

It is a happy number.

It is a super-2 number, since 2×5404541064162 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505346 + ... + 1829473.

It is an arithmetic number, because the mean of its divisors is an integer number (29938680032).

Almost surely, 2540454106416 is an apocalyptic number.

540454106416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

540454106416 is an abundant number, since it is smaller than the sum of its proper divisors (657093094864).

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

540454106416 is a wasteful number, since it uses less digits than its factorization.

540454106416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336281 (or 3336275 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 540454106416 in words is "five hundred forty billion, four hundred fifty-four million, one hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 1447 2894 5788 10129 11576 20258 23152 40516 81032 162064 3334819 6669638 13339276 23343733 26678552 46687466 53357104 93374932 186749864 373499728 4825483093 9650966186 19301932372 33778381651 38603864744 67556763302 77207729488 135113526604 270227053208 540454106416