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8472404324736 = 273411614013037
BaseRepresentation
bin111101101001010001010…
…1001100111000110000000
31002222221202102110120020000
41323102202221213012000
52102302441001342421
630004100244120000
71533053035345062
oct173224251470600
932887672416200
108472404324736
112777143403440
12b4a013096000
13495c3781b0b1
142140d08c1732
15ea5c009c226
hex7b4a2a67180

8472404324736 has 640 divisors, whose sum is σ = 28035758409120. Its totient is φ = 2518179840000.

The previous prime is 8472404324707. The next prime is 8472404324819. The reversal of 8472404324736 is 6374234042748.

8472404324736 is a `hidden beast` number, since 8 + 4 + 7 + 240 + 4 + 324 + 73 + 6 = 666.

It is a super-2 number, since 2×84724043247362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2789726610 + ... + 2789729646.

Almost surely, 28472404324736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8472404324736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017879204560).

8472404324736 is an abundant number, since it is smaller than the sum of its proper divisors (19563354084384).

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

8472404324736 is a wasteful number, since it uses less digits than its factorization.

8472404324736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 8472404324736 in words is "eight trillion, four hundred seventy-two billion, four hundred four million, three hundred twenty-four thousand, seven hundred thirty-six".