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806666687120 = 24571440476227
BaseRepresentation
bin10111011110100010001…
…01001101001010010000
32212010010222200112110102
423233101011031022100
5101204023132441440
61414324430351532
7112164644464430
oct13572105151220
92763128615412
10806666687120
11291118351478
1211040705b5a8
135b0b71bc958
142b08591a2c0
1515eb371bb15
hexbbd114d290

806666687120 has 40 divisors (see below), whose sum is σ = 2143428627264. Its totient is φ = 276571435392.

The previous prime is 806666687089. The next prime is 806666687171. The reversal of 806666687120 is 21786666608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8066666871202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 720237554 + ... + 720238673.

Almost surely, 2806666687120 is an apocalyptic number.

806666687120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806666687120 is an abundant number, since it is smaller than the sum of its proper divisors (1336761940144).

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

806666687120 is a wasteful number, since it uses less digits than its factorization.

806666687120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440476247 (or 1440476241 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 56.

The spelling of 806666687120 in words is "eight hundred six billion, six hundred sixty-six million, six hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1440476227 2880952454 5761904908 7202381135 10083333589 11523809816 14404762270 20166667178 23047619632 28809524540 40333334356 50416667945 57619049080 80666668712 100833335890 115238098160 161333337424 201666671780 403333343560 806666687120