Search a number
-
+
3663122540 = 22571121012141
BaseRepresentation
bin1101101001010110…
…1101000001101100
3100110021210220110012
43122111231001230
530000224410130
61403253232352
7156530012360
oct33225550154
910407726405
103663122540
11160a812200
128629326b8
13464bb143c
1426a7012a0
151668ce995
hexda56d06c

3663122540 has 144 divisors (see below), whose sum is σ = 9763612992. Its totient is φ = 1129920000.

The previous prime is 3663122539. The next prime is 3663122543. The reversal of 3663122540 is 452213663.

3663122540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3663122497 and 3663122506.

It is not an unprimeable number, because it can be changed into a prime (3663122543) 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, 1709870 + ... + 1712010.

It is an arithmetic number, because the mean of its divisors is an integer number (67802868).

Almost surely, 23663122540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3663122540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881806496).

3663122540 is an abundant number, since it is smaller than the sum of its proper divisors (6100490452).

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

3663122540 is a wasteful number, since it uses less digits than its factorization.

3663122540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 3663122540 is about 60523.7353440780. The cubic root of 3663122540 is about 1541.5246804647.

The spelling of 3663122540 in words is "three billion, six hundred sixty-three million, one hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 121 140 154 202 220 242 308 385 404 484 505 605 707 770 847 1010 1111 1210 1414 1540 1694 2020 2141 2222 2420 2828 3388 3535 4235 4282 4444 5555 7070 7777 8470 8564 10705 11110 12221 14140 14987 15554 16940 21410 22220 23551 24442 29974 31108 38885 42820 47102 48884 59948 61105 74935 77770 85547 94204 117755 122210 149870 155540 164857 171094 216241 235510 244420 259061 299740 329714 342188 427735 432482 471020 518122 659428 824285 855470 864964 1036244 1081205 1295305 1513687 1648570 1710940 1813427 2162410 2378651 2590610 3027374 3297140 3626854 4324820 4757302 5181220 6054748 7253708 7568435 9067135 9514604 11893255 15136870 16650557 18134270 23786510 26165161 30273740 33301114 36268540 47573020 52330322 66602228 83252785 104660644 130825805 166505570 183156127 261651610 333011140 366312254 523303220 732624508 915780635 1831561270 3663122540