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27366106020 = 22351157771861
BaseRepresentation
bin11001011111001001…
…011010001110100100
32121122012011020002020
4121133021122032210
5422021210343040
620323302343140
71656105030441
oct313711321644
977565136066
1027366106020
11106734a9550
125378a2aab0
1327717b5956
1414787029c8
15aa27a0cd0
hex65f25a3a4

27366106020 has 96 divisors (see below), whose sum is σ = 83737051776. Its totient is φ = 6622617600.

The previous prime is 27366106013. The next prime is 27366106021. The reversal of 27366106020 is 2060166372.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (27366106021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344890 + ... + 416750.

It is an arithmetic number, because the mean of its divisors is an integer number (872260956).

Almost surely, 227366106020 is an apocalyptic number.

27366106020 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 27366106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41868525888).

27366106020 is an abundant number, since it is smaller than the sum of its proper divisors (56370945756).

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

27366106020 is a wasteful number, since it uses less digits than its factorization.

27366106020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72461 (or 72459 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

It can be divided in two parts, 27366 and 106020, that added together give a triangular number (133386 = T516).

The spelling of 27366106020 in words is "twenty-seven billion, three hundred sixty-six million, one hundred six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 577 660 1154 1731 2308 2885 3462 5770 6347 6924 8655 11540 12694 17310 19041 25388 31735 34620 38082 63470 71861 76164 95205 126940 143722 190410 215583 287444 359305 380820 431166 718610 790471 862332 1077915 1437220 1580942 2155830 2371413 3161884 3952355 4311660 4742826 7904710 9485652 11857065 15809420 23714130 41463797 47428260 82927594 124391391 165855188 207318985 248782782 414637970 456101767 497565564 621956955 829275940 912203534 1243913910 1368305301 1824407068 2280508835 2487827820 2736610602 4561017670 5473221204 6841526505 9122035340 13683053010 27366106020