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83466140904 = 23342314293919
BaseRepresentation
bin100110110111011111…
…0000011110011101000
321222102220021021110000
41031232332003303220
52331414313002104
6102202133023000
76013240330446
oct1155676036350
9258386237400
1083466140904
1132441508043
1214214784a60
137b42277a73
14407b241b96
15228793d639
hex136ef83ce8

83466140904 has 160 divisors (see below), whose sum is σ = 244179936000. Its totient is φ = 26586983808.

The previous prime is 83466140897. The next prime is 83466140911. The reversal of 83466140904 is 40904166438.

It is an interprime number because it is at equal distance from previous prime (83466140897) and next prime (83466140911).

It is a self number, because there is not a number n which added to its sum of digits gives 83466140904.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21295857 + ... + 21299775.

It is an arithmetic number, because the mean of its divisors is an integer number (1526124600).

Almost surely, 283466140904 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 83466140904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122089968000).

83466140904 is an abundant number, since it is smaller than the sum of its proper divisors (160713795096).

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

83466140904 is a wasteful number, since it uses less digits than its factorization.

83466140904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 83466140904 in words is "eighty-three billion, four hundred sixty-six million, one hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 276 324 414 552 621 648 828 1242 1429 1656 1863 2484 2858 3726 3919 4287 4968 5716 7452 7838 8574 11432 11757 12861 14904 15676 17148 23514 25722 31352 32867 34296 35271 38583 47028 51444 65734 70542 77166 90137 94056 98601 102888 105813 115749 131468 141084 154332 180274 197202 211626 231498 262936 270411 282168 295803 308664 317439 360548 394404 423252 462996 540822 591606 634878 721096 788808 811233 846504 887409 925992 1081644 1183212 1269756 1622466 1774818 2163288 2366424 2433699 2539512 2662227 3244932 3549636 4867398 5324454 5600251 6489864 7099272 7301097 9734796 10648908 11200502 14602194 16800753 19469592 21297816 22401004 29204388 33601506 44802008 50402259 58408776 67203012 100804518 128805773 134406024 151206777 201609036 257611546 302413554 386417319 403218072 453620331 515223092 604827108 772834638 907240662 1030446184 1159251957 1209654216 1545669276 1814481324 2318503914 3091338552 3477755871 3628962648 4637007828 6955511742 9274015656 10433267613 13911023484 20866535226 27822046968 41733070452 83466140904