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661421124 = 22327131011999
BaseRepresentation
bin100111011011000…
…111110001000100
31201002120200012200
4213123013301010
52323310433444
6145344314500
722250662320
oct4733076104
91632520180
10661421124
1130a39a531
12165612a30
13a7052660
1463bb4980
153d101969
hex276c7c44

661421124 has 144 divisors (see below), whose sum is σ = 2079168000. Its totient is φ = 172627200.

The previous prime is 661421077. The next prime is 661421219. The reversal of 661421124 is 421124166.

661421124 is a `hidden beast` number, since 6 + 614 + 21 + 1 + 24 = 666.

661421124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329877 + ... + 331875.

Almost surely, 2661421124 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 661421124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039584000).

661421124 is an abundant number, since it is smaller than the sum of its proper divisors (1417746876).

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

661421124 is a wasteful number, since it uses less digits than its factorization.

661421124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2125 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 661421124 is about 25718.1088729323. The cubic root of 661421124 is about 871.2832272307.

The spelling of 661421124 in words is "six hundred sixty-one million, four hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 101 117 126 156 182 202 234 252 273 303 364 404 468 546 606 707 819 909 1092 1212 1313 1414 1638 1818 1999 2121 2626 2828 3276 3636 3939 3998 4242 5252 5997 6363 7878 7996 8484 9191 11817 11994 12726 13993 15756 17991 18382 23634 23988 25452 25987 27573 27986 35982 36764 41979 47268 51974 55146 55972 71964 77961 82719 83958 103948 110292 125937 155922 165438 167916 181909 201899 233883 251874 311844 330876 363818 403798 467766 503748 545727 605697 727636 807596 935532 1091454 1211394 1413293 1637181 1817091 2182908 2422788 2624687 2826586 3274362 3634182 4239879 5249374 5653172 6548724 7268364 7874061 8479758 10498748 12719637 15748122 16959516 18372809 23622183 25439274 31496244 36745618 47244366 50878548 55118427 73491236 94488732 110236854 165355281 220473708 330710562 661421124