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8948222064 = 2433199711239
BaseRepresentation
bin10000101010101101…
…10000100001110000
3212002121122210001000
420111112300201300
5121311221101224
64035531242000
7434513426655
oct102526604160
925077583030
108948222064
113882046751
1218988a9300
13ac7b21872
1460c5b7c2c
153758a00c9
hex2155b0870

8948222064 has 160 divisors (see below), whose sum is σ = 27317696000. Its totient is φ = 2796374016.

The previous prime is 8948222033. The next prime is 8948222089. The reversal of 8948222064 is 4602228498.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 790557 + ... + 801795.

It is an arithmetic number, because the mean of its divisors is an integer number (170735600).

Almost surely, 28948222064 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 8948222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13658848000).

8948222064 is an abundant number, since it is smaller than the sum of its proper divisors (18369473936).

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

8948222064 is a wasteful number, since it uses less digits than its factorization.

8948222064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11372 (or 11360 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8948222064 is about 94595.0424916655. The cubic root of 8948222064 is about 2076.0871693158.

The spelling of 8948222064 in words is "eight billion, nine hundred forty-eight million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 97 108 114 144 152 171 194 216 228 291 304 342 388 432 456 513 582 684 776 873 912 1026 1164 1368 1552 1746 1843 2052 2328 2619 2736 3492 3686 4104 4656 5238 5529 6984 7372 8208 10476 11058 11239 13968 14744 16587 20952 22116 22478 29488 33174 33717 41904 44232 44956 49761 66348 67434 88464 89912 99522 101151 132696 134868 179824 199044 202302 213541 265392 269736 303453 398088 404604 427082 539472 606906 640623 796176 809208 854164 1090183 1213812 1281246 1618416 1708328 1921869 2180366 2427624 2562492 3270549 3416656 3843738 4360732 4855248 5124984 5765607 6541098 7687476 8721464 9811647 10249968 11531214 13082196 15374952 17442928 19623294 20713477 23062428 26164392 29434941 30749904 39246588 41426954 46124856 52328784 58869882 62140431 78493176 82853908 92249712 117739764 124280862 156986352 165707816 186421293 235479528 248561724 331415632 372842586 470959056 497123448 559263879 745685172 994246896 1118527758 1491370344 2237055516 2982740688 4474111032 8948222064