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540606606045 = 351129303737201
BaseRepresentation
bin1111101110111101010…
…10100010101011011101
31220200101210201000210120
413313132222202223131
532324130242343140
61052203511425153
754025510222032
oct7673652425335
91820353630716
10540606606045
111992a7376650
12889340851b9
133bc95a9ca0c
141c2461b7389
15e0e09e01d0
hex7ddeaa2add

540606606045 has 64 divisors (see below), whose sum is σ = 976490000640. Its totient is φ = 252983808000.

The previous prime is 540606606019. The next prime is 540606606053.

It is a happy number.

540606606045 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 540606606045 - 212 = 540606601949 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540606605988 and 540606606006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14513445 + ... + 14550645.

It is an arithmetic number, because the mean of its divisors is an integer number (15257656260).

Almost surely, 2540606606045 is an apocalyptic number.

540606606045 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

540606606045 is a deficient number, since it is larger than the sum of its proper divisors (435883394595).

540606606045 is a wasteful number, since it uses less digits than its factorization.

540606606045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40286.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 540606606045 in words is "five hundred forty billion, six hundred six million, six hundred six thousand, forty-five".

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1595 3037 4785 9111 15185 33407 37201 45555 88073 100221 111603 167035 186005 264219 409211 440365 501105 558015 968803 1078829 1227633 1321095 2046055 2906409 3236487 4844015 5394145 6138165 11867119 14532045 16182435 35601357 59335595 112979437 178006785 338938311 564897185 1242773807 1694691555 3276403673 3728321421 6213869035 9829211019 16382018365 18641607105 36040440403 49146055095 108121321209 180202202015 540606606045