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217079683380 = 2232572171447777
BaseRepresentation
bin1100101000101011110…
…1010001100100110100
3202202022122201111110100
43022022331101210310
512024034344332010
6243420334554100
721453302602200
oct3121275214464
9682278644410
10217079683380
118407690510a
12360a3668930
13176169917c1
14a7145c3b00
1559a7b3b2c0
hex328af51934

217079683380 has 216 divisors, whose sum is σ = 811039444488. Its totient is φ = 46699462656.

The previous prime is 217079683357. The next prime is 217079683393. The reversal of 217079683380 is 83386970712.

217079683380 is a `hidden beast` number, since 2 + 170 + 7 + 96 + 8 + 3 + 380 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68487936804 + 148591746576 = 261702^2 + 385476^2 .

It is a super-2 number, since 2×2170796833802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 573949 + ... + 873828.

It is an arithmetic number, because the mean of its divisors is an integer number (3754812243).

Almost surely, 2217079683380 is an apocalyptic number.

217079683380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217079683380 is an abundant number, since it is smaller than the sum of its proper divisors (593959761108).

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

217079683380 is a wasteful number, since it uses less digits than its factorization.

217079683380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447823 (or 1447811 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 217079683380 in words is "two hundred seventeen billion, seventy-nine million, six hundred eighty-three thousand, three hundred eighty".