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54195169680 = 24325312428099
BaseRepresentation
bin110010011110010010…
…001010100110010000
312011212221202212112200
4302132102022212100
51341442430412210
640521422323200
73626002225101
oct623622124620
9164787685480
1054195169680
1120a90840133
12a605a29500
135158c46c52
1428a196a3a8
151622d1d0c0
hexc9e48a990

54195169680 has 120 divisors (see below), whose sum is σ = 187876665600. Its totient is φ = 13985844480.

The previous prime is 54195169661. The next prime is 54195169709. The reversal of 54195169680 is 8696159145.

54195169680 is a `hidden beast` number, since 5 + 41 + 9 + 516 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1191730 + ... + 1236369.

It is an arithmetic number, because the mean of its divisors is an integer number (1565638880).

Almost surely, 254195169680 is an apocalyptic number.

It is an amenable number.

54195169680 is an abundant number, since it is smaller than the sum of its proper divisors (133681495920).

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

54195169680 is a wasteful number, since it uses less digits than its factorization.

54195169680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428149 (or 2428140 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 54195169680 in words is "fifty-four billion, one hundred ninety-five million, one hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 2428099 4856198 7284297 9712396 12140495 14568594 19424792 21852891 24280990 29137188 36421485 38849584 43705782 48561980 58274376 72842970 75271069 87411564 97123960 109264455 116548752 145685940 150542138 174823128 194247920 218528910 225813207 291371880 301084276 349646256 376355345 437057820 451626414 582743760 602168552 677439621 752710690 874115640 903252828 1129066035 1204337104 1354879242 1505421380 1748231280 1806505656 2258132070 2709758484 3010842760 3387198105 3613011312 4516264140 5419516968 6021685520 6774396210 9032528280 10839033936 13548792420 18065056560 27097584840 54195169680