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4956971068848 = 2435313125435849
BaseRepresentation
bin100100000100010001001…
…1111111110110110110000
3122112212210211120221111110
41020020202133332312300
51122203334043200343
614313111233113320
71021062235611231
oct110104237766660
918485724527443
104956971068848
11164126aa38737
1268083b6b8840
1329c59563ab66
14131cc0c01088
1588e1ed7d833
hex482227fedb0

4956971068848 has 160 divisors (see below), whose sum is σ = 13154136652800. Its totient is φ = 1607865026560.

The previous prime is 4956971068799. The next prime is 4956971068879. The reversal of 4956971068848 is 8488601796594.

It is a self number, because there is not a number n which added to its sum of digits gives 4956971068848.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 847487428 + ... + 847493276.

It is an arithmetic number, because the mean of its divisors is an integer number (82213354080).

Almost surely, 24956971068848 is an apocalyptic number.

4956971068848 is a gapful number since it is divisible by the number (48) 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 4956971068848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577068326400).

4956971068848 is an abundant number, since it is smaller than the sum of its proper divisors (8197165583952).

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

4956971068848 is a wasteful number, since it uses less digits than its factorization.

4956971068848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587 (or 8581 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 75.

The spelling of 4956971068848 in words is "four trillion, nine hundred fifty-six billion, nine hundred seventy-one million, sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 131 159 212 262 318 393 424 524 636 786 848 1048 1272 1572 2096 2543 2544 3144 5086 5849 6288 6943 7629 10172 11698 13886 15258 17547 20344 20829 23396 27772 30516 35094 40688 41658 46792 55544 61032 70188 83316 93584 111088 122064 134779 140376 166632 269558 280752 309997 333133 333264 404337 539116 619994 666266 766219 808674 929991 999399 1078232 1239988 1332532 1532438 1617348 1859982 1998798 2156464 2298657 2479976 2665064 3064876 3234696 3719964 3997596 4597314 4959952 5330128 6129752 6469392 7439928 7995192 9194628 12259504 14874007 14879856 15990384 17656049 18389256 29748014 35312098 36778512 40609607 44622021 52968147 59496028 70624196 81219214 89244042 105936294 118992056 121828821 141248392 162438428 178488084 211872588 237984112 243657642 282496784 324876856 356976168 423745176 487315284 649753712 713952336 788322371 847490352 974630568 1576644742 1948494917 1949261136 2364967113 3153289484 3896989834 4729934226 5845484751 6306578968 7793979668 9459868452 11690969502 12613157936 15587959336 18919736904 23381939004 31175918672 37839473808 46763878008 93527756016 103270230601 206540461202 309810691803 413080922404 619621383606 826161844808 1239242767212 1652323689616 2478485534424 4956971068848