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27638070030 = 2325857358331
BaseRepresentation
bin11001101111010110…
…110111101100001110
32122100010220102120100
4121233112313230032
5423100321220110
620410255431530
71665616501434
oct315726675416
978303812510
1027638070030
11107a2a7409a
125433b255a6
1327b5c486bc
1414a2898d54
15abb5c2bc0
hex66f5b7b0e

27638070030 has 48 divisors (see below), whose sum is σ = 71943032304. Its totient is φ = 7361531520.

The previous prime is 27638070017. The next prime is 27638070067. The reversal of 27638070030 is 3007083672.

27638070030 is a `hidden beast` number, since 276 + 380 + 7 + 0 + 0 + 3 + 0 = 666.

It is a super-3 number, since 3×276380700303 (a number of 32 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

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, 102036 + ... + 256295.

It is an arithmetic number, because the mean of its divisors is an integer number (1498813173).

Almost surely, 227638070030 is an apocalyptic number.

27638070030 is an abundant number, since it is smaller than the sum of its proper divisors (44304962274).

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

27638070030 is a wasteful number, since it uses less digits than its factorization.

27638070030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359201 (or 359198 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 27638070030 in words is "twenty-seven billion, six hundred thirty-eight million, seventy thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 857 1714 2571 4285 5142 7713 8570 12855 15426 25710 38565 77130 358331 716662 1074993 1791655 2149986 3224979 3583310 5374965 6449958 10749930 16124895 32249790 307089667 614179334 921269001 1535448335 1842538002 2763807003 3070896670 4606345005 5527614006 9212690010 13819035015 27638070030