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42535735347 = 3719306734759
BaseRepresentation
bin100111100111010100…
…111101000000110011
311001210101111020110110
4213213110331000303
51144103122012342
631312440232403
73034034533140
oct474724750063
9131711436413
1042535735347
111704834a596
1282b116b703
13401b514391
1420b72813c7
15118e420c9c
hex9e753d033

42535735347 has 32 divisors (see below), whose sum is σ = 68251955200. Its totient is φ = 23018694048.

The previous prime is 42535735313. The next prime is 42535735373. The reversal of 42535735347 is 74353753524.

It is a happy number.

It is not a de Polignac number, because 42535735347 - 230 = 41461993523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42535735296 and 42535735305.

It is not an unprimeable number, because it can be changed into a prime (42535735447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206354 + ... + 1241112.

It is an arithmetic number, because the mean of its divisors is an integer number (2132873600).

Almost surely, 242535735347 is an apocalyptic number.

42535735347 is a deficient number, since it is larger than the sum of its proper divisors (25716219853).

42535735347 is a wasteful number, since it uses less digits than its factorization.

42535735347 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37855.

The product of its digits is 5292000, while the sum is 48.

The spelling of 42535735347 in words is "forty-two billion, five hundred thirty-five million, seven hundred thirty-five thousand, three hundred forty-seven".

Divisors: 1 3 7 19 21 57 133 399 3067 9201 21469 34759 58273 64407 104277 174819 243313 407911 660421 729939 1223733 1981263 4622947 13868841 106605853 319817559 746240971 2025511207 2238722913 6076533621 14178578449 42535735347