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857429213760 = 26325742531211
BaseRepresentation
bin11000111101000101100…
…00111000001001000000
310000222011201100001222200
430132202300320021000
5103022003334320020
61453521511433200
7115642616031060
oct14364260701100
93028151301880
10857429213760
113006a7490029
1211a213385800
1362b16c21a72
142d6dd61d3a0
1517484ed5590
hexc7a2c38240

857429213760 has 168 divisors, whose sum is σ = 3370513488576. Its totient is φ = 195983815680.

The previous prime is 857429213689. The next prime is 857429213779. The reversal of 857429213760 is 67312924758.

It is a happy number.

857429213760 is a `hidden beast` number, since 8 + 574 + 2 + 9 + 2 + 1 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 857429213697 and 857429213706.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21245446 + ... + 21285765.

It is a 1-persistent number, because it is pandigital, but 2⋅857429213760 = 1714858427520 is not.

Almost surely, 2857429213760 is an apocalyptic number.

857429213760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

857429213760 is an abundant number, since it is smaller than the sum of its proper divisors (2513084274816).

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

857429213760 is a wasteful number, since it uses less digits than its factorization.

857429213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42531241 (or 42531228 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 857429213760 in words is "eight hundred fifty-seven billion, four hundred twenty-nine million, two hundred thirteen thousand, seven hundred sixty".