Search a number
-
+
24545551140 = 223251130834021
BaseRepresentation
bin10110110111000001…
…110110001100100100
32100100121210012011200
4112313001312030210
5400232130114030
615135344202500
71526155512405
oct266701661444
970317705150
1024545551140
11a456361960
124910309430
13241233c876
14128bc8b9ac
15989d55d60
hex5b7076324

24545551140 has 144 divisors (see below), whose sum is σ = 81270012096. Its totient is φ = 5947027200.

The previous prime is 24545551097. The next prime is 24545551157. The reversal of 24545551140 is 4115554542.

24545551140 is a `hidden beast` number, since 2 + 4 + 54 + 55 + 511 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24545551095 and 24545551104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6102330 + ... + 6106350.

It is an arithmetic number, because the mean of its divisors is an integer number (564375084).

Almost surely, 224545551140 is an apocalyptic number.

24545551140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24545551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40635006048).

24545551140 is an abundant number, since it is smaller than the sum of its proper divisors (56724460956).

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

24545551140 is a wasteful number, since it uses less digits than its factorization.

24545551140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7130 (or 7125 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 24545551140 in words is "twenty-four billion, five hundred forty-five million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 3083 4021 6166 8042 9249 12063 12332 15415 16084 18498 20105 24126 27747 30830 33913 36189 36996 40210 44231 46245 48252 55494 60315 61660 67826 72378 80420 88462 92490 101739 110988 120630 132693 135652 138735 144756 169565 176924 180945 184980 203478 221155 241260 265386 277470 305217 339130 361890 398079 406956 442310 508695 530772 554940 610434 663465 678260 723780 796158 884620 1017390 1220868 1326930 1526085 1592316 1990395 2034780 2653860 3052170 3980790 6104340 7961580 12396743 24793486 37190229 49586972 61983715 74380458 111570687 123967430 136364173 148760916 185951145 223141374 247934860 272728346 371902290 409092519 446282748 545456692 557853435 681820865 743804580 818185038 1115706870 1227277557 1363641730 1636370076 2045462595 2231413740 2454555114 2727283460 4090925190 4909110228 6136387785 8181850380 12272775570 24545551140