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84440004084 = 22323736288353
BaseRepresentation
bin100111010100100000…
…1000011010111110100
322001221202202122120200
41032221001003113310
52340413120112314
6102442522200500
76046334122632
oct1165101032764
9261852678520
1084440004084
11328a11a9947
1214446953130
137c68c63477
144130708352
1522e31aa709
hex13a90435f4

84440004084 has 36 divisors (see below), whose sum is σ = 214017840036. Its totient is φ = 28071203328.

The previous prime is 84440004073. The next prime is 84440004127. The reversal of 84440004084 is 48040004448.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 17286464484 + 67153539600 = 131478^2 + 259140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×844400040842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3130749 + ... + 3157604.

It is an arithmetic number, because the mean of its divisors is an integer number (5944940001).

Almost surely, 284440004084 is an apocalyptic number.

It is an amenable number.

84440004084 is an abundant number, since it is smaller than the sum of its proper divisors (129577835952).

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

84440004084 is a wasteful number, since it uses less digits than its factorization.

84440004084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288736 (or 6288731 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 84440004084 in words is "eighty-four billion, four hundred forty million, four thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 373 746 1119 1492 2238 3357 4476 6714 13428 6288353 12576706 18865059 25153412 37730118 56595177 75460236 113190354 226380708 2345555669 4691111338 7036667007 9382222676 14073334014 21110001021 28146668028 42220002042 84440004084