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83108069460 = 223251336239803
BaseRepresentation
bin100110101100110100…
…0001000000001010100
321221111221111100202200
41031121220020001110
52330201131210320
6102102422204500
76001331635413
oct1153150100124
9257457440680
1083108069460
113227837a729
1214134883730
137ab6026a80
14404587347a
1522662ad290
hex1359a08054

83108069460 has 144 divisors (see below), whose sum is σ = 271588996224. Its totient is φ = 20449638144.

The previous prime is 83108069431. The next prime is 83108069467. The reversal of 83108069460 is 6496080138.

83108069460 is a `hidden beast` number, since 83 + 108 + 0 + 6 + 9 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83108069467) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8472919 + ... + 8482721.

It is an arithmetic number, because the mean of its divisors is an integer number (1886034696).

Almost surely, 283108069460 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 83108069460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794498112).

83108069460 is an abundant number, since it is smaller than the sum of its proper divisors (188480926764).

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

83108069460 is a wasteful number, since it uses less digits than its factorization.

83108069460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13454 (or 13449 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 83108069460 in words is "eighty-three billion, one hundred eight million, sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3623 7246 9803 10869 14492 18115 19606 21738 29409 32607 36230 39212 43476 47099 49015 54345 58818 65214 72460 88227 94198 98030 108690 117636 127439 130428 141297 147045 163035 176454 188396 196060 217380 235495 254878 282594 294090 326070 352908 382317 423891 441135 470990 509756 565188 588180 637195 652140 706485 764634 847782 882270 941980 1146951 1274390 1412970 1529268 1695564 1764540 1911585 2119455 2293902 2548780 2825940 3823170 4238910 4587804 5734755 7646340 8477820 11469510 22939020 35516269 71032538 106548807 142065076 177581345 213097614 319646421 355162690 426195228 461711497 532744035 639292842 710325380 923422994 1065488070 1278585684 1385134491 1598232105 1846845988 2130976140 2308557485 2770268982 3196464210 4155403473 4617114970 5540537964 6392928420 6925672455 8310806946 9234229940 13851344910 16621613892 20777017365 27702689820 41554034730 83108069460