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27026125728 = 253740217449
BaseRepresentation
bin11001001010111000…
…011111001110100000
32120202111102102210120
4121022320133032200
5420322142010403
620225435400240
71644506164320
oct311270371640
976674372716
1027026125728
11105095a82a8
1252a2bb3080
13271922a294
1414454c3280
15a829e5e53
hex64ae1f3a0

27026125728 has 48 divisors (see below), whose sum is σ = 81078379200. Its totient is φ = 7721750016.

The previous prime is 27026125727. The next prime is 27026125801. The reversal of 27026125728 is 82752162072.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×270261257282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 27026125728.

It is not an unprimeable number, because it can be changed into a prime (27026125727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20108053 + ... + 20109396.

It is an arithmetic number, because the mean of its divisors is an integer number (1689132900).

Almost surely, 227026125728 is an apocalyptic number.

27026125728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27026125728 is an abundant number, since it is smaller than the sum of its proper divisors (54052253472).

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

27026125728 is a wasteful number, since it uses less digits than its factorization.

27026125728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40217469 (or 40217461 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 27026125728 in words is "twenty-seven billion, twenty-six million, one hundred twenty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 40217449 80434898 120652347 160869796 241304694 281522143 321739592 482609388 563044286 643479184 844566429 965218776 1126088572 1286958368 1689132858 1930437552 2252177144 3378265716 3860875104 4504354288 6756531432 9008708576 13513062864 27026125728