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27741406060 = 2254164752289
BaseRepresentation
bin11001110101100001…
…000100001101101100
32122121100100102221201
4121311201010031230
5423303244443220
620424430335244
72001313026604
oct316541041554
978540312851
1027741406060
1110846333a75
12546265a524
132801489794
1414b24b7c04
15ac56d5d0a
hex67584436c

27741406060 has 48 divisors (see below), whose sum is σ = 59771234880. Its totient is φ = 10808975360.

The previous prime is 27741406051. The next prime is 27741406109. The reversal of 27741406060 is 6060414772.

It is a super-2 number, since 2×277414060602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504396 + ... + 556684.

It is an arithmetic number, because the mean of its divisors is an integer number (1245234060).

Almost surely, 227741406060 is an apocalyptic number.

27741406060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27741406060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29885617440).

27741406060 is an abundant number, since it is smaller than the sum of its proper divisors (32029828820).

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

27741406060 is a wasteful number, since it uses less digits than its factorization.

27741406060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52986 (or 52984 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 27741406060 in words is "twenty-seven billion, seven hundred forty-one million, four hundred six thousand, sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 647 820 1294 2588 3235 6470 12940 26527 52289 53054 104578 106108 132635 209156 261445 265270 522890 530540 1045780 2143849 4287698 8575396 10719245 21438490 33830983 42876980 67661966 135323932 169154915 338309830 676619660 1387070303 2774140606 5548281212 6935351515 13870703030 27741406060