Search a number
-
+
54025880580 = 2234574764187
BaseRepresentation
bin110010010100001100…
…011000010000000100
312011110011020002120000
4302110030120100010
51341121111134310
640452534041300
73621545256630
oct622414302004
9164404202500
1054025880580
1120a04223791
12a5791a9230
13512cb53399
14288729ddc0
15161302d4c0
hexc94318404

54025880580 has 120 divisors (see below), whose sum is σ = 193692827328. Its totient is φ = 12348770112.

The previous prime is 54025880479. The next prime is 54025880591. The reversal of 54025880580 is 8508852045.

54025880580 is a `hidden beast` number, since 5 + 40 + 25 + 8 + 8 + 0 + 580 = 666.

It is a super-3 number, since 3×540258805803 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2370754 + ... + 2393433.

Almost surely, 254025880580 is an apocalyptic number.

It is an amenable number.

54025880580 is an abundant number, since it is smaller than the sum of its proper divisors (139666946748).

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

54025880580 is a wasteful number, since it uses less digits than its factorization.

54025880580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764215 (or 4764204 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 54025880580 in words is "fifty-four billion, twenty-five million, eight hundred eighty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 4764187 9528374 14292561 19056748 23820935 28585122 33349309 42877683 47641870 57170244 66698618 71462805 85755366 95283740 100047927 128633049 133397236 142925610 166746545 171510732 200095854 214388415 257266098 285851220 300143781 333493090 385899147 400191708 428776830 500239635 514532196 600287562 643165245 666986180 771798294 857553660 900431343 1000479270 1200575124 1286330490 1500718905 1543596588 1800862686 1929495735 2000958540 2572660980 2701294029 3001437810 3601725372 3858991470 4502156715 5402588058 6002875620 7717982940 9004313430 10805176116 13506470145 18008626860 27012940290 54025880580