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42882160807785 = 35131491801819487
BaseRepresentation
bin10011100000000010001111…
…11101100100111101101001
312121211111100111222002022010
421300001013331210331221
521110040131131322120
6231111443120550133
712014063630512425
oct1160010775447551
9177744314862263
1042882160807785
1112733249927592
124986a24a82349
131ac0a0279b9a0
14a83717023b85
154e56e40347e0
hex270047f64f69

42882160807785 has 64 divisors (see below), whose sum is σ = 74426555750400. Its totient is φ = 20957862758400.

The previous prime is 42882160807771. The next prime is 42882160807817. The reversal of 42882160807785 is 58770806128824.

It is a happy number.

42882160807785 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42882160807785 - 215 = 42882160775017 is a prime.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51918312 + ... + 52737798.

It is an arithmetic number, because the mean of its divisors is an integer number (1162914933600).

Almost surely, 242882160807785 is an apocalyptic number.

It is an amenable number.

42882160807785 is a deficient number, since it is larger than the sum of its proper divisors (31544394942615).

42882160807785 is a wasteful number, since it uses less digits than its factorization.

42882160807785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821458.

The product of its (nonzero) digits is 96337920, while the sum is 66.

The spelling of 42882160807785 in words is "forty-two trillion, eight hundred eighty-two billion, one hundred sixty million, eight hundred seven thousand, seven hundred eighty-five".

Divisors: 1 3 5 13 15 39 65 149 195 447 745 1801 1937 2235 5403 5811 9005 9685 23413 27015 29055 70239 117065 268349 351195 805047 819487 1341745 2458461 3488537 4025235 4097435 10465611 10653331 12292305 17442685 31959993 52328055 53266655 122103563 159799965 366310689 610517815 1475896087 1587346319 1831553445 4427688261 4762038957 7379480435 7936731595 19186649131 22138441305 23810194785 57559947393 95933245655 219908516963 287799736965 659725550889 1099542584815 2858810720519 3298627754445 8576432161557 14294053602595 42882160807785