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83146367855112 = 233314631434116831
BaseRepresentation
bin10010111001111100000101…
…101110000110101000001000
3101220101201022100001201211220
4102321330011232012220020
541344232230132330422
6452500525235122040
723341061335453122
oct2271740556065010
9356351270051756
1083146367855112
11245471a403a831
1293aa3a6443320
1337518905b80c3
14167643cac2212
15992c63e4ae5c
hex4b9f05b86a08

83146367855112 has 128 divisors (see below), whose sum is σ = 215062480158720. Its totient is φ = 26760023136000.

The previous prime is 83146367855059. The next prime is 83146367855191. The reversal of 83146367855112 is 21155876364138.

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, 4940064537 + ... + 4940081367.

It is an arithmetic number, because the mean of its divisors is an integer number (1680175626240).

Almost surely, 283146367855112 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 83146367855112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107531240079360).

83146367855112 is an abundant number, since it is smaller than the sum of its proper divisors (131916112303608).

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

83146367855112 is a wasteful number, since it uses less digits than its factorization.

83146367855112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31675 (or 31671 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 60.

The spelling of 83146367855112 in words is "eighty-three trillion, one hundred forty-six billion, three hundred sixty-seven million, eight hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 463 744 926 1389 1852 2778 3704 5556 11112 14341 14353 16831 28682 28706 33662 43023 43059 50493 57364 57412 67324 86046 86118 100986 114728 114824 134648 172092 172236 201972 344184 344472 403944 444571 521761 889142 1043522 1333713 1565283 1778284 2087044 2667426 3130566 3556568 4174088 5334852 6261132 6639883 7792753 10669704 12522264 13279766 15585506 19919649 23378259 26559532 31171012 39839298 46756518 53119064 62342024 79678596 93513036 159357192 187026072 205836373 241373371 241575343 411672746 482746742 483150686 617509119 724120113 724726029 823345492 965493484 966301372 1235018238 1448240226 1449452058 1646690984 1930986968 1932602744 2470036476 2896480452 2898904116 4940072952 5792960904 5797808232 7482574501 14965149002 22447723503 29930298004 44895447006 59860596008 89790894012 111755870773 179581788024 223511741546 335267612319 447023483092 670535224638 894046966184 1341070449276 2682140898552 3464431993963 6928863987926 10393295981889 13857727975852 20786591963778 27715455951704 41573183927556 83146367855112