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55083471486976 = 21423225212
BaseRepresentation
bin11001000011001000111101…
…10000000100000000000000
321020000221001211121021102201
430201210132300010000000
524204441422200040401
6313052555241322544
714413435526211202
oct1441443660040000
9236027054537381
1055083471486976
11166078506a4229
126217667196454
13249746cbb444a
14d860a8bc4772
15657caa4c8b01
hex32191ec04000

55083471486976 has 135 divisors (see below), whose sum is σ = 115207249612413. Its totient is φ = 26333819043840.

The previous prime is 55083471486973. The next prime is 55083471487097. The reversal of 55083471486976 is 67968417438055.

The square root of 55083471486976 is 7421824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43691032576 + 55039780454400 = 209024^2 + 7418880^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55083471486899 and 55083471486908.

It is not an unprimeable number, because it can be changed into a prime (55083471486973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21849848596 + ... + 21849851116.

Almost surely, 255083471486976 is an apocalyptic number.

55083471486976 is the 7421824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55083471486976

55083471486976 is an abundant number, since it is smaller than the sum of its proper divisors (60123778125437).

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

55083471486976 is an frugal number, since it uses more digits than its factorization.

55083471486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 73.

The spelling of 55083471486976 in words is "fifty-five trillion, eighty-three billion, four hundred seventy-one million, four hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 529 736 1024 1058 1472 2048 2116 2521 2944 4096 4232 5042 5888 8192 8464 10084 11776 16384 16928 20168 23552 33856 40336 47104 57983 67712 80672 94208 115966 135424 161344 188416 231932 270848 322688 376832 463864 541696 645376 927728 1083392 1290752 1333609 1855456 2166784 2581504 2667218 3710912 4333568 5163008 5334436 6355441 7421824 8667136 10326016 10668872 12710882 14843648 20652032 21337744 25421764 29687296 41304064 42675488 50843528 59374592 85350976 101687056 118749184 146175143 170701952 203374112 237498368 292350286 341403904 406748224 474996736 584700572 682807808 813496448 949993472 1169401144 1365615616 1626992896 2338802288 2731231232 3253985792 3362028289 4677604576 5462462464 6507971584 6724056578 9355209152 10924924928 13015943168 13448113156 18710418304 21849849856 26031886336 26896226312 37420836608 52063772672 53792452624 74841673216 104127545344 107584905248 149683346432 215169810496 299366692864 430339620992 598733385728 860679241984 1197466771456 1721358483968 2394933542912 3442716967936 6885433935872 13770867871744 27541735743488 55083471486976