Search a number
-
+
58003630146 = 23372111992841
BaseRepresentation
bin110110000001010010…
…010010100001000010
312112201101001201011000
4312001102102201002
51422242412131041
642351351032430
74122245502300
oct660122224102
9175641051130
1058003630146
112266559a920
12b2a936b716
135614c84257
142b436a1270
15179735abb6
hexd81492842

58003630146 has 96 divisors (see below), whose sum is σ = 163572471360. Its totient is φ = 15065870400.

The previous prime is 58003630051. The next prime is 58003630147. The reversal of 58003630146 is 64103630085.

58003630146 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 3 + 630 + 14 + 6 = 666.

It is a super-2 number, since 2×580036301462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58003630146.

It is not an unprimeable number, because it can be changed into a prime (58003630147) 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, 967315 + ... + 1025526.

It is an arithmetic number, because the mean of its divisors is an integer number (1703879910).

Almost surely, 258003630146 is an apocalyptic number.

58003630146 is an abundant number, since it is smaller than the sum of its proper divisors (105568841214).

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

58003630146 is a wasteful number, since it uses less digits than its factorization.

58003630146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992877 (or 1992864 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 58003630146 in words is "fifty-eight billion, three million, six hundred thirty thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 9702 14553 29106 1992841 3985682 5978523 11957046 13949887 17935569 21921251 27899774 35871138 41849661 43842502 53806707 65763753 83699322 97649209 107613414 125548983 131527506 153448757 195298418 197291259 251097966 292947627 306897514 376646949 394582518 460346271 585895254 591873777 753293898 878842881 920692542 1074141299 1183747554 1381038813 1757685762 2148282598 2636528643 2762077626 3222423897 4143116439 5273057286 6444847794 8286232878 9667271691 19334543382 29001815073 58003630146