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55337962749312 = 2735311512362331
BaseRepresentation
bin11001001010100010111111…
…00111001011110110000000
321020221020221202210220020110
430211101133213023312000
524223124121430434222
6313405524212311320
714441015206230225
oct1445213747136600
9236836852726213
1055337962749312
11166a5775350331
126258a4b912540
1324b54695aa9c9
14d9452bca994c
1565e70275730c
hex32545f9cbd80

55337962749312 has 128 divisors (see below), whose sum is σ = 149895068037120. Its totient is φ = 18082218752000.

The previous prime is 55337962749299. The next prime is 55337962749323. The reversal of 55337962749312 is 21394726973355.

55337962749312 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 (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22243987 + ... + 24606317.

It is an arithmetic number, because the mean of its divisors is an integer number (1171055219040).

Almost surely, 255337962749312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55337962749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74947534018560).

55337962749312 is an abundant number, since it is smaller than the sum of its proper divisors (94557105287808).

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

55337962749312 is a wasteful number, since it uses less digits than its factorization.

55337962749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363552 (or 2363540 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 66.

The spelling of 55337962749312 in words is "fifty-five trillion, three hundred thirty-seven billion, nine hundred sixty-two million, seven hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1151 1272 1696 2302 2544 3392 3453 4604 5088 6784 6906 9208 10176 13812 18416 20352 27624 36832 55248 61003 73664 110496 122006 147328 183009 220992 244012 366018 441984 488024 732036 976048 1464072 1952096 2362331 2928144 3904192 4724662 5856288 7086993 7808384 9449324 11712576 14173986 18898648 23425152 28347972 37797296 56695944 75594592 113391888 125203543 151189184 226783776 250407086 302378368 375610629 453567552 500814172 751221258 907135104 1001628344 1502442516 2003256688 2719042981 3004885032 4006513376 5438085962 6009770064 8013026752 8157128943 10876171924 12019540128 16026053504 16314257886 21752343848 24039080256 32628515772 43504687696 48078160512 65257031544 87009375392 130514063088 144109277993 174018750784 261028126176 288218555986 348037501568 432327833979 522056252352 576437111972 864655667958 1044112504704 1152874223944 1729311335916 2305748447888 3458622671832 4611496895776 6917245343664 9222993791552 13834490687328 18445987583104 27668981374656 55337962749312