Search a number
-
+
55299012123936 = 253782290196613
BaseRepresentation
bin11001001001011010011011…
…11110010101110100100000
321020210112102020100010002210
430210231031332111310200
524222004334100431221
6313340003201242120
714435136033331530
oct1444551576256440
9236715366303083
1055299012123936
11166901a7779a49
12625139b333340
1324b189ca62199
14d926b4c1d4c0
1565d6c2e56276
hex324b4df95d20

55299012123936 has 48 divisors (see below), whose sum is σ = 165897036373824. Its totient is φ = 15799717749504.

The previous prime is 55299012123913. The next prime is 55299012123937. The reversal of 55299012123936 is 63932121099255.

55299012123936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (55299012123937) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 41145097635 + ... + 41145098978.

It is an arithmetic number, because the mean of its divisors is an integer number (3456188257788).

Almost surely, 255299012123936 is an apocalyptic number.

55299012123936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

55299012123936 is an abundant number, since it is smaller than the sum of its proper divisors (110598024249888).

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

55299012123936 is a wasteful number, since it uses less digits than its factorization.

55299012123936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82290196633 (or 82290196625 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 55299012123936 in words is "fifty-five trillion, two hundred ninety-nine billion, twelve million, one hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 82290196613 164580393226 246870589839 329160786452 493741179678 576031376291 658321572904 987482359356 1152062752582 1316643145808 1728094128873 1974964718712 2304125505164 2633286291616 3456188257746 3949929437424 4608251010328 6912376515492 7899858874848 9216502020656 13824753030984 18433004041312 27649506061968 55299012123936