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27072254241 = 3413919112589
BaseRepresentation
bin11001001101101000…
…011101000100100001
32120212201020000020000
4121031220131010201
5420420444113431
620234204210213
71645606235634
oct311550350441
976781200200
1027072254241
111053264433a
1252b6539969
13272595b466
14144b68dc1b
15a86aa89e6
hex64da1d121

27072254241 has 40 divisors (see below), whose sum is σ = 40948723200. Its totient is φ = 17823097440.

The previous prime is 27072254179. The next prime is 27072254249. The reversal of 27072254241 is 14245227072.

27072254241 is a `hidden beast` number, since 2 + 7 + 0 + 7 + 225 + 424 + 1 = 666.

It is not a de Polignac number, because 27072254241 - 213 = 27072246049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27072254196 and 27072254205.

It is not an unprimeable number, because it can be changed into a prime (27072254249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2144175 + ... + 2156763.

It is an arithmetic number, because the mean of its divisors is an integer number (1023718080).

Almost surely, 227072254241 is an apocalyptic number.

It is an amenable number.

27072254241 is a deficient number, since it is larger than the sum of its proper divisors (13876468959).

27072254241 is a wasteful number, since it uses less digits than its factorization.

27072254241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12931 (or 12922 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 27072254241 in words is "twenty-seven billion, seventy-two million, two hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 139 191 417 573 1251 1719 3753 5157 11259 12589 15471 26549 37767 79647 113301 238941 339903 716823 1019709 1749871 2150469 2404499 5249613 7213497 15748839 21640491 47246517 64921473 141739551 194764419 334225361 1002676083 3008028249 9024084747 27072254241