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20645832065382 = 235731394186571
BaseRepresentation
bin1001011000110111110110…
…11111001000000101100110
32201002201111112102201100000
410230123323133020011212
510201230131002043012
6111524321520402130
74230416652011526
oct454337337100546
981081445381300
1020645832065382
11663a936a68717
122395373476346
13b69b80351354
14515399485686
1525c0a36eeddc
hex12c6fb7c8166

20645832065382 has 96 divisors (see below), whose sum is σ = 47363191424640. Its totient is φ = 6738837042240.

The previous prime is 20645832065381. The next prime is 20645832065389. The reversal of 20645832065382 is 28356023854602.

20645832065382 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 5 + 83 + 20 + 6 + 538 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20645832065381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2838157 + ... + 7024727.

It is an arithmetic number, because the mean of its divisors is an integer number (493366577340).

Almost surely, 220645832065382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20645832065382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23681595712320).

20645832065382 is an abundant number, since it is smaller than the sum of its proper divisors (26717359359258).

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

20645832065382 is a wasteful number, since it uses less digits than its factorization.

20645832065382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186800 (or 4186788 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 20645832065382 in words is "twenty trillion, six hundred forty-five billion, eight hundred thirty-two million, sixty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 139 146 162 219 243 278 417 438 486 657 834 1251 1314 1971 2502 3753 3942 5913 7506 10147 11259 11826 17739 20294 22518 30441 33777 35478 60882 67554 91323 182646 273969 547938 821907 1643814 2465721 4186571 4931442 8373142 12559713 25119426 37679139 75358278 113037417 226074834 305619683 339112251 581933369 611239366 678224502 916859049 1017336753 1163866738 1745800107 1833718098 2034673506 2750577147 3491600214 5237400321 5501154294 8251731441 10474800642 15712200963 16503462882 24755194323 31424401926 42481135937 47136602889 49510388646 74265582969 84962271874 94273205778 127443407811 141409808667 148531165938 254886815622 282819617334 382330223433 764660446866 1146990670299 2293981340598 3440972010897 6881944021794 10322916032691 20645832065382