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47677907553312 = 2531979472662133
BaseRepresentation
bin10101101011100111000001…
…01111100100110000100000
320020210222000100112210221110
422311303200233210300200
522222123323313201222
6245222532305223320
713020420665326011
oct1265634057446040
9206728010483843
1047677907553312
11142120a5942903
12542036a931b40
13207b01331055a
14bab8a188d008
1557a329bd330c
hex2b5ce0be4c20

47677907553312 has 96 divisors (see below), whose sum is σ = 125922686484672. Its totient is φ = 15795259741184.

The previous prime is 47677907553253. The next prime is 47677907553317. The reversal of 47677907553312 is 21335570977674.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47677907553317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16578598 + ... + 19240730.

It is an arithmetic number, because the mean of its divisors is an integer number (1311694650882).

Almost surely, 247677907553312 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 47677907553312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62961343242336).

47677907553312 is an abundant number, since it is smaller than the sum of its proper divisors (78244778931360).

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

47677907553312 is a wasteful number, since it uses less digits than its factorization.

47677907553312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663290 (or 2663282 counting only the distinct ones).

The product of its (nonzero) digits is 233377200, while the sum is 66.

The spelling of 47677907553312 in words is "forty-seven trillion, six hundred seventy-seven billion, nine hundred seven million, five hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 197 394 591 788 947 1182 1576 1894 2364 2841 3152 3788 4728 5682 6304 7576 9456 11364 15152 18912 22728 30304 45456 90912 186559 373118 559677 746236 1119354 1492472 2238708 2662133 2984944 4477416 5324266 5969888 7986399 8954832 10648532 15972798 17909664 21297064 31945596 42594128 63891192 85188256 127782384 255564768 524440201 1048880402 1573320603 2097760804 2521039951 3146641206 4195521608 5042079902 6293282412 7563119853 8391043216 10084159804 12586564824 15126239706 16782086432 20168319608 25173129648 30252479412 40336639216 50346259296 60504958824 80673278432 121009917648 242019835296 496644870347 993289740694 1489934611041 1986579481388 2979869222082 3973158962776 5959738444164 7946317925552 11919476888328 15892635851104 23838953776656 47677907553312