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83765143627842 = 231074211291723993
BaseRepresentation
bin10011000010111100010111…
…101000010110100001000010
3101222120212110212211212111010
4103002330113220112201002
541434402003232042332
6454053101543301350
723433555226653255
oct2302742750264102
9358525425755433
1083765143627842
1124765663909276
12948a2b514a856
1337980330c54b1
14169837c81309c
159a3dcc3109cc
hex4c2f17a16842

83765143627842 has 64 divisors (see below), whose sum is σ = 169517831128704. Its totient is φ = 27591775034880.

The previous prime is 83765143627793. The next prime is 83765143627843. The reversal of 83765143627842 is 24872634156738.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (83765143627843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3491220598 + ... + 3491244590.

It is an arithmetic number, because the mean of its divisors is an integer number (2648716111386).

Almost surely, 283765143627842 is an apocalyptic number.

83765143627842 is an abundant number, since it is smaller than the sum of its proper divisors (85752687500862).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83765143627842 is a wasteful number, since it uses less digits than its factorization.

83765143627842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37443.

The product of its digits is 325140480, while the sum is 66.

The spelling of 83765143627842 in words is "eighty-three trillion, seven hundred sixty-five billion, one hundred forty-three million, six hundred twenty-seven thousand, eight hundred forty-two".

Divisors: 1 2 3 6 107 214 321 421 642 842 1263 2526 12917 23993 25834 38751 45047 47986 71979 77502 90094 135141 143958 270282 1382119 2567251 2764238 4146357 5134502 5438057 7701753 8292714 10101053 10876114 15403506 16314171 20202106 30303159 32628342 60606318 309917581 581872099 619835162 929752743 1080812671 1163744198 1745616297 1859505486 2161625342 3242438013 3491232594 6484876026 33161181167 66322362334 99483543501 130475301601 198967087002 260950603202 391425904803 782851809606 13960857271307 27921714542614 41882571813921 83765143627842