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442662420465 = 32561716639587
BaseRepresentation
bin1100111000100001011…
…11000111111111110001
31120022120220102212202200
412130100233013333301
524223033034423330
6535204543533413
743660405330416
oct6342057077761
91508526385680
10442662420465
1116080643a331
127195a8ba269
133298717a415
14175d41c010d
15b7abee0a60
hex6710bc7ff1

442662420465 has 48 divisors (see below), whose sum is σ = 769067440128. Its totient is φ = 235537682688.

The previous prime is 442662420349. The next prime is 442662420467. The reversal of 442662420465 is 564024266244.

It is not a de Polignac number, because 442662420465 - 212 = 442662416369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 442662420465.

It is not an unprimeable number, because it can be changed into a prime (442662420467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46168402 + ... + 46177988.

It is an arithmetic number, because the mean of its divisors is an integer number (16022238336).

Almost surely, 2442662420465 is an apocalyptic number.

442662420465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442662420465 is a deficient number, since it is larger than the sum of its proper divisors (326405019663).

442662420465 is a wasteful number, since it uses less digits than its factorization.

442662420465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878 (or 11875 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 442662420465 in words is "four hundred forty-two billion, six hundred sixty-two million, four hundred twenty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 45 617 1663 1851 3085 4989 5553 8315 9255 9587 14967 24945 27765 28761 47935 74835 86283 143805 431415 1026071 3078213 5130355 5915179 9234639 15391065 15943181 17745537 29575895 46173195 47829543 53236611 79715905 88727685 143488629 239147715 266183055 717443145 9836942677 29510828031 49184713385 88532484093 147554140155 442662420465