Search a number
-
+
12180248794950 = 23521931137863597
BaseRepresentation
bin1011000100111110111101…
…1001110001011101000110
31121010102100110222121112220
42301033233121301131012
53044030122142414300
641523310135153210
72364664630335225
oct261175731613506
947112313877486
1012180248794950
1139766839a7345
121448744815806
136a4791a44182
1430175485ccbc
15161c823c0da0
hexb13ef671746

12180248794950 has 96 divisors (see below), whose sum is σ = 32822565411840. Its totient is φ = 2977853673600.

The previous prime is 12180248794943. The next prime is 12180248794951. The reversal of 12180248794950 is 5949784208121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180248794951) 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, 68843449 + ... + 69020148.

It is an arithmetic number, because the mean of its divisors is an integer number (341901723040).

Almost surely, 212180248794950 is an apocalyptic number.

12180248794950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12180248794950 is an abundant number, since it is smaller than the sum of its proper divisors (20642316616890).

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

12180248794950 is a wasteful number, since it uses less digits than its factorization.

12180248794950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137863662 (or 137863657 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 12180248794950 in words is "twelve trillion, one hundred eighty billion, two hundred forty-eight million, seven hundred ninety-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 31 38 50 57 62 75 93 95 114 150 155 186 190 285 310 465 475 570 589 775 930 950 1178 1425 1550 1767 2325 2850 2945 3534 4650 5890 8835 14725 17670 29450 44175 88350 137863597 275727194 413590791 689317985 827181582 1378635970 2067953955 2619408343 3446589925 4135907910 4273771507 5238816686 6893179850 7858225029 8547543014 10339769775 12821314521 13097041715 15716450058 20679539550 21368857535 25642629042 26194083430 39291125145 42737715070 64106572605 65485208575 78582250290 81201658633 106844287675 128213145210 130970417150 162403317266 196455625725 213688575350 243604975899 320532863025 392911251450 406008293165 487209951798 641065726050 812016586330 1218024879495 2030041465825 2436049758990 4060082931650 6090124397475 12180248794950