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54693525900 = 223521321136637
BaseRepresentation
bin110010111011111111…
…001111100110001100
312020011200111222202110
4302323333033212030
51344003020312100
641043104024020
73644233204506
oct627377174614
9166150458673
1054693525900
1121217084582
12a724902010
135208274aa0
14290bc14d76
15165195e250
hexcbbfcf98c

54693525900 has 144 divisors (see below), whose sum is σ = 170525759264. Its totient is φ = 13454622720.

The previous prime is 54693525889. The next prime is 54693525923. The reversal of 54693525900 is 952539645.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54693525900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8237382 + ... + 8244018.

Almost surely, 254693525900 is an apocalyptic number.

54693525900 is a gapful number since it is divisible by the number (50) 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 54693525900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85262879632).

54693525900 is an abundant number, since it is smaller than the sum of its proper divisors (115832233364).

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

54693525900 is a wasteful number, since it uses less digits than its factorization.

54693525900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8780 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 54693525900 in words is "fifty-four billion, six hundred ninety-three million, five hundred twenty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2113 3900 4226 6339 6637 8452 10565 12678 13274 19911 21130 25356 26548 27469 31695 33185 39822 42260 52825 54938 63390 66370 79644 82407 86281 99555 105650 109876 126780 132740 137345 158475 164814 165925 172562 199110 211300 258843 274690 316950 329628 331850 345124 398220 412035 431405 497775 517686 549380 633900 663700 686725 824070 862810 995550 1035372 1294215 1373450 1648140 1725620 1991100 2060175 2157025 2588430 2746900 4120350 4314050 5176860 6471075 8240700 8628100 12942150 14023981 25884300 28047962 42071943 56095924 70119905 84143886 140239810 168287772 182311753 210359715 280479620 350599525 364623506 420719430 546935259 701199050 729247012 841438860 911558765 1051798575 1093870518 1402398100 1823117530 2103597150 2187741036 2734676295 3646235060 4207194300 4557793825 5469352590 9115587650 10938705180 13673381475 18231175300 27346762950 54693525900