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8648468648468 = 22112314737932359
BaseRepresentation
bin111110111011010000011…
…1001101101001000010100
31010121210012122112220120222
41331312200321231020110
52113144030433222333
630221015053413512
71551555054404255
oct175664071551024
933553178486528
108648468648468
1128348820a5800
12b7816a79a298
134a9715c72bcc
1421c833b0cb2c
15eee76ed9298
hex7dda0e6d214

8648468648468 has 144 divisors (see below), whose sum is σ = 17584620748800. Its totient is φ = 3713429966400.

The previous prime is 8648468648459. The next prime is 8648468648489.

8648468648468 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8648468648392 and 8648468648401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267250073 + ... + 267282431.

Almost surely, 28648468648468 is an apocalyptic number.

It is an amenable number.

8648468648468 is an abundant number, since it is smaller than the sum of its proper divisors (8936152100332).

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

8648468648468 is a wasteful number, since it uses less digits than its factorization.

8648468648468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32842 (or 32829 counting only the distinct ones).

The product of its digits is 10871635968, while the sum is 80.

The spelling of 8648468648468 in words is "eight trillion, six hundred forty-eight billion, four hundred sixty-eight million, six hundred forty-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 22 31 44 47 62 94 121 124 188 242 341 379 484 517 682 758 1034 1364 1457 1516 2068 2914 3751 4169 5687 5828 7502 8338 11374 11749 15004 16027 16676 17813 22748 23498 32054 32359 35626 45859 46996 64108 64718 71252 91718 129239 129436 176297 183436 195943 258478 352594 355949 391886 516956 552203 705188 711898 783772 1003129 1104406 1421629 1423796 1520873 2006258 2155373 2208812 2843258 3041746 3915439 4012516 4310746 5686516 6074233 6083492 7830878 8621492 11034419 12148466 12264061 15661756 16729603 22068838 24296932 24528122 33459206 44137676 47147063 49056244 66816563 66918412 94294126 121378609 133633126 134904671 184025633 188588252 242757218 267266252 269809342 368051266 380185891 485514436 518617693 539618684 576410867 736102532 760371782 1037235386 1152821734 1483951381 1520743564 2074470772 2305643468 2967902762 4182044801 5704794623 5935805524 6340519537 8364089602 11409589246 12681039074 16728179204 17868736877 22819178492 25362078148 35737473754 46002492811 69745714907 71474947508 92004985622 139491429814 184009971244 196556105647 278982859628 393112211294 786224422588 2162117162117 4324234324234 8648468648468