Search a number
-
+
45661655244 = 22329791978431
BaseRepresentation
bin101010100001101001…
…011001000011001100
311100212020110102102110
4222201221121003030
51222003340431434
632550543424020
73204352444212
oct524151310314
9140766412373
1045661655244
11184018a5467
128a23bb5010
1343c901621a
1422d24a4cb2
1512c3a894e9
hexaa1a590cc

45661655244 has 96 divisors (see below), whose sum is σ = 112192819200. Its totient is φ = 14434318080.

The previous prime is 45661655233. The next prime is 45661655293. The reversal of 45661655244 is 44255616654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45661655193 and 45661655202.

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, 5411709 + ... + 5420139.

It is an arithmetic number, because the mean of its divisors is an integer number (1168675200).

Almost surely, 245661655244 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 45661655244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56096409600).

45661655244 is an abundant number, since it is smaller than the sum of its proper divisors (66531163956).

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

45661655244 is a wasteful number, since it uses less digits than its factorization.

45661655244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8741 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 48.

The spelling of 45661655244 in words is "forty-five billion, six hundred sixty-one million, six hundred fifty-five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 79 87 116 158 174 197 237 316 348 394 474 591 788 948 1182 2291 2364 4582 5713 6873 8431 9164 11426 13746 15563 16862 17139 22852 25293 27492 31126 33724 34278 46689 50586 62252 68556 93378 101172 186756 244499 451327 488998 666049 733497 902654 977996 1332098 1353981 1466994 1660907 1805308 1998147 2664196 2707962 2933988 3321814 3996294 4982721 5415924 6643628 7992588 9965442 19315421 19930884 38630842 48166303 57946263 77261684 96332606 115892526 131211653 144498909 192665212 231785052 262423306 288997818 393634959 524846612 577995636 787269918 1574539836 3805137937 7610275874 11415413811 15220551748 22830827622 45661655244