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73844782208 = 27240192
BaseRepresentation
bin100010011000101111…
…1011111010010000000
321001121100222121112122
41010301133133102000
52202213231012313
653531313543412
75222641202141
oct1046137372200
9231540877478
1073844782208
11293544aa92a
121238a574b68
136c6ab61202
1438074c3ac8
151dc2e25708
hex11317df480

73844782208 has 24 divisors (see below), whose sum is σ = 147118777155. Its totient is φ = 36920853888.

The previous prime is 73844782201. The next prime is 73844782217. The reversal of 73844782208 is 80228744837.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 36922391104 + 36922391104 = 192152^2 + 192152^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=192152.

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 73844782208.

It is not an unprimeable number, because it can be changed into a prime (73844782201) by changing a digit.

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 2 ways as a sum of consecutive naturals, for example, 3062423 + ... + 3086441.

Almost surely, 273844782208 is an apocalyptic number.

It is an amenable number.

73844782208 is a deficient number, since it is larger than the sum of its proper divisors (73273994947).

73844782208 is an frugal number, since it uses more digits than its factorization.

73844782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48052 (or 24021 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 53.

The spelling of 73844782208 in words is "seventy-three billion, eight hundred forty-four million, seven hundred eighty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 64 128 24019 48038 96076 192152 384304 768608 1537216 3074432 576912361 1153824722 2307649444 4615298888 9230597776 18461195552 36922391104 73844782208