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84002494233 = 3731910933931
BaseRepresentation
bin100111000111011110…
…0000101011100011001
322000211021111211220010
41032032330011130121
52334014114303413
6102331252552133
76032442264000
oct1161674053431
9260737454803
1084002494233
1132697244259
1214344322649
137bc941a8b8
1440cc57bc37
1522b9a87dc3
hex138ef05719

84002494233 has 64 divisors (see below), whose sum is σ = 137651456000. Its totient is φ = 45421871040.

The previous prime is 84002494231. The next prime is 84002494237. The reversal of 84002494233 is 33249420048.

It is a happy number.

It is not a de Polignac number, because 84002494233 - 21 = 84002494231 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84002494191 and 84002494200.

It is not an unprimeable number, because it can be changed into a prime (84002494231) 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 63 ways as a sum of consecutive naturals, for example, 21367278 + ... + 21371208.

It is an arithmetic number, because the mean of its divisors is an integer number (2150804000).

Almost surely, 284002494233 is an apocalyptic number.

It is an amenable number.

84002494233 is a deficient number, since it is larger than the sum of its proper divisors (53648961767).

84002494233 is a wasteful number, since it uses less digits than its factorization.

84002494233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 84002494233 in words is "eighty-four billion, two million, four hundred ninety-four thousand, two hundred thirty-three".

Divisors: 1 3 7 19 21 49 57 133 147 343 399 931 1029 1093 2793 3279 3931 6517 7651 11793 19551 20767 22953 27517 53557 62301 74689 82551 145369 160671 192619 224067 374899 436107 522823 577857 1017583 1124697 1348333 1568469 3052749 3659761 4044999 4296583 7123081 10979283 12889749 21369243 25618327 30076081 76854981 81635077 90228243 210532567 244905231 571445539 631597701 1473727969 1714336617 4000118773 4421183907 12000356319 28000831411 84002494233