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27038155752 = 233441725549
BaseRepresentation
bin11001001011100110…
…011000001111101000
32120210100001121220000
4121023212120033220
5420333231441002
620230545303000
71645013350266
oct311346301750
976710047800
1027038155752
1110515374673
1252a7034a60
13271b87cb3a
141446d35436
15a83ac061c
hex64b9983e8

27038155752 has 40 divisors (see below), whose sum is σ = 75731873250. Its totient is φ = 9012718368.

The previous prime is 27038155691. The next prime is 27038155769. The reversal of 27038155752 is 25755183072.

27038155752 is a `hidden beast` number, since 2 + 70 + 3 + 8 + 1 + 5 + 575 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24653396196 + 2384759556 = 157014^2 + 48834^2 .

It is a junction number, because it is equal to n+sod(n) for n = 27038155698 and 27038155707.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 20862127 + ... + 20863422.

Almost surely, 227038155752 is an apocalyptic number.

It is an amenable number.

27038155752 is an abundant number, since it is smaller than the sum of its proper divisors (48693717498).

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

27038155752 is a wasteful number, since it uses less digits than its factorization.

27038155752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41725567 (or 41725554 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 27038155752 in words is "twenty-seven billion, thirty-eight million, one hundred fifty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 41725549 83451098 125176647 166902196 250353294 333804392 375529941 500706588 751059882 1001413176 1126589823 1502119764 2253179646 3004239528 3379769469 4506359292 6759538938 9012718584 13519077876 27038155752