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27805826040 = 2335475479013
BaseRepresentation
bin11001111001010110…
…110011101111111000
32122202211120022112220
4121321112303233320
5423421242413130
620435051204040
72003024423136
oct317126635770
978684508486
1027805826040
1110879733723
125480146620
132811923505
1414bac86756
15acb1ad410
hex6795b3bf8

27805826040 has 128 divisors (see below), whose sum is σ = 85357532160. Its totient is φ = 7243052544.

The previous prime is 27805826017. The next prime is 27805826101. The reversal of 27805826040 is 4062850872.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27805825983 and 27805826001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3080574 + ... + 3089586.

It is an arithmetic number, because the mean of its divisors is an integer number (666855720).

Almost surely, 227805826040 is an apocalyptic number.

27805826040 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 27805826040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42678766080).

27805826040 is an abundant number, since it is smaller than the sum of its proper divisors (57551706120).

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

27805826040 is a wasteful number, since it uses less digits than its factorization.

27805826040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9621 (or 9617 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 27805826040 in words is "twenty-seven billion, eight hundred five million, eight hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 547 564 705 940 1094 1128 1410 1641 1880 2188 2735 2820 3282 4376 5470 5640 6564 8205 9013 10940 13128 16410 18026 21880 25709 27039 32820 36052 45065 51418 54078 65640 72104 77127 90130 102836 108156 128545 135195 154254 180260 205672 216312 257090 270390 308508 360520 385635 423611 514180 540780 617016 771270 847222 1028360 1081560 1270833 1542540 1694444 2118055 2541666 3085080 3388888 4236110 4930111 5083332 6354165 8472220 9860222 10166664 12708330 14790333 16944440 19720444 24650555 25416660 29580666 39440888 49301110 50833320 59161332 73951665 98602220 118322664 147903330 197204440 231715217 295806660 463430434 591613320 695145651 926860868 1158576085 1390291302 1853721736 2317152170 2780582604 3475728255 4634304340 5561165208 6951456510 9268608680 13902913020 27805826040