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8405868672 = 27327296761
BaseRepresentation
bin1111101010000011…
…10110000010000000
3210200211010101001100
413311001312002000
5114203400244142
63510034534400
7415206463515
oct76501660200
923624111040
108405868672
113623991603
121767137400
13a3c65a9b6
1459a55930c
15342e6cb4c
hex1f5076080

8405868672 has 48 divisors (see below), whose sum is σ = 24188766030. Its totient is φ = 2801955840.

The previous prime is 8405868661. The next prime is 8405868677. The reversal of 8405868672 is 2768685048.

It can be written as a sum of positive squares in only one way, i.e., 8278088256 + 127780416 = 90984^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×84058686722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8405868677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3647229 + ... + 3649532.

Almost surely, 28405868672 is an apocalyptic number.

It is an amenable number.

8405868672 is an abundant number, since it is smaller than the sum of its proper divisors (15782897358).

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

8405868672 is a wasteful number, since it uses less digits than its factorization.

8405868672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296781 (or 7296766 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 8405868672 is about 91683.5245395813. The cubic root of 8405868672 is about 2033.2660079354.

The spelling of 8405868672 in words is "eight billion, four hundred five million, eight hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 7296761 14593522 21890283 29187044 43780566 58374088 65670849 87561132 116748176 131341698 175122264 233496352 262683396 350244528 466992704 525366792 700489056 933985408 1050733584 1400978112 2101467168 2801956224 4202934336 8405868672