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84461322002 = 289223092
BaseRepresentation
bin100111010101001001…
…0010111111100010010
322002000020212201021012
41032222102113330102
52340434044301002
6102445003130522
76050013251201
oct1165222277422
9262006781235
1084461322002
113290223a362
1214451b13a42
137c704b8715
144133497238
1522e4ebbd52
hex13aa497f12

84461322002 has 18 divisors (see below), whose sum is σ = 128186999103. Its totient is φ = 41738075104.

The previous prime is 84461321999. The next prime is 84461322007. The reversal of 84461322002 is 20022316448.

It can be written as a sum of positive squares in 5 ways, for example, as 45126929761 + 39334392241 = 212431^2 + 198329^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=205501.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84461322002.

It is not an unprimeable number, because it can be changed into a prime (84461322007) 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 8 ways as a sum of consecutive naturals, for example, 36578024 + ... + 36580332.

Almost surely, 284461322002 is an apocalyptic number.

84461322002 is a deficient number, since it is larger than the sum of its proper divisors (43725677101).

84461322002 is an frugal number, since it uses more digits than its factorization.

84461322002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Multiplying 84461322002 by its sum of digits (32), we get a square (2702762304064 = 16440082).

The spelling of 84461322002 in words is "eighty-four billion, four hundred sixty-one million, three hundred twenty-two thousand, two".

Divisors: 1 2 89 178 2309 4618 7921 15842 205501 411002 5331481 10662962 18289589 36579178 474501809 949003618 42230661001 84461322002