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214850771136 = 263522760859
BaseRepresentation
bin1100100000011000011…
…0101001100011000000
3202112120022122000200000
43020012012221203000
512010003244134021
6242411233400000
721344126264601
oct3100606514300
9675508560600
10214850771136
1183132728381
1235781109000
131734cc79311
14a58257bda8
1558c710cb26
hex32061a98c0

214850771136 has 168 divisors, whose sum is σ = 641463426240. Its totient is φ = 71300259072.

The previous prime is 214850771029. The next prime is 214850771159. The reversal of 214850771136 is 631177058412.

214850771136 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 507 + 7 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 214850771091 and 214850771100.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3499875 + ... + 3560733.

It is an arithmetic number, because the mean of its divisors is an integer number (3818234680).

Almost surely, 2214850771136 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 214850771136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320731713120).

214850771136 is an abundant number, since it is smaller than the sum of its proper divisors (426612655104).

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

214850771136 is an equidigital number, since it uses as much as digits as its factorization.

214850771136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61113 (or 61091 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 214850771136 in words is "two hundred fourteen billion, eight hundred fifty million, seven hundred seventy-one thousand, one hundred thirty-six".