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8055632940390 = 2335710614017191
BaseRepresentation
bin111010100111001100100…
…1000111100110101100110
31001112002222220120121001000
41311032121020330311212
52023440414013043030
625044412351014130
71461000044131560
oct165163110746546
931462886517030
108055632940390
11262641386a822
12aa129b20a346
134658486827b9
141dbc75150330
15de82b0d9860
hex7539923cd66

8055632940390 has 128 divisors (see below), whose sum is σ = 24573645527040. Its totient is φ = 1839551644800.

The previous prime is 8055632940353. The next prime is 8055632940401. The reversal of 8055632940390 is 930492365508.

8055632940390 is a `hidden beast` number, since 8 + 0 + 5 + 563 + 2 + 9 + 40 + 39 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3306 + ... + 4013885.

It is an arithmetic number, because the mean of its divisors is an integer number (191981605680).

Almost surely, 28055632940390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8055632940390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286822763520).

8055632940390 is an abundant number, since it is smaller than the sum of its proper divisors (16518012586650).

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

8055632940390 is a wasteful number, since it uses less digits than its factorization.

8055632940390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4018275 (or 4018269 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 8055632940390 in words is "eight trillion, fifty-five billion, six hundred thirty-two million, nine hundred forty thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1061 1890 2122 3183 5305 6366 7427 9549 10610 14854 15915 19098 22281 28647 31830 37135 44562 47745 57294 66843 74270 95490 111405 133686 143235 200529 222810 286470 334215 401058 668430 1002645 2005290 4017191 8034382 12051573 20085955 24103146 28120337 36154719 40171910 56240674 60257865 72309438 84361011 108464157 120515730 140601685 168722022 180773595 216928314 253083033 281203370 361547190 421805055 506166066 542320785 759249099 843610110 1084641570 1265415165 1518498198 2530830330 3796245495 4262239651 7592490990 8524479302 12786718953 21311198255 25573437906 29835677557 38360156859 42622396510 59671355114 63933594765 76720313718 89507032671 115080470577 127867189530 149178387785 179014065342 191800784295 230160941154 268521098013 298356775570 383601568590 447535163355 537042196026 575402352885 805563294039 895070326710 1150804705770 1342605490065 1611126588078 2685210980130 4027816470195 8055632940390