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419972842505 = 53717330742743
BaseRepresentation
bin1100001110010000101…
…01010000010000001001
31111011000121222220011102
412013020111100100021
523340101021430010
6520533255311145
742225214155356
oct6071025202011
91434017886142
10419972842505
111521227a2607
126948807b4b5
13307ac4c7a48
1416480a1962d
15add009cba5
hex61c8550409

419972842505 has 32 divisors (see below), whose sum is σ = 522287910144. Its totient is φ = 323941959936.

The previous prime is 419972842493. The next prime is 419972842511. The reversal of 419972842505 is 505248279914.

It is a cyclic number.

It is not a de Polignac number, because 419972842505 - 28 = 419972842249 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9804164 + ... + 9846906.

It is an arithmetic number, because the mean of its divisors is an integer number (16321497192).

Almost surely, 2419972842505 is an apocalyptic number.

It is an amenable number.

419972842505 is a deficient number, since it is larger than the sum of its proper divisors (102315067639).

419972842505 is a wasteful number, since it uses less digits than its factorization.

419972842505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43265.

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 419972842505 in words is "four hundred nineteen billion, nine hundred seventy-two million, eight hundred forty-two thousand, five hundred five".

Divisors: 1 5 37 173 185 307 865 1535 6401 11359 32005 42743 53111 56795 213715 265555 1581491 1965107 7394539 7907455 9825535 13122101 36972695 65610505 273597943 485517737 1367989715 2270123473 2427588685 11350617365 83994568501 419972842505