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173145430416 = 24372347476701
BaseRepresentation
bin1010000101000001000…
…1011001100110010000
3121112220210200012111010
42201100101121212100
510314100212233131
6211313015250520
715336463606140
oct2412021314620
9545823605433
10173145430416
1167481099642
1229682079a40
13134347ca60a
1485476d8920
154785a69b46
hex2850459990

173145430416 has 160 divisors (see below), whose sum is σ = 544767418368. Its totient is φ = 46312358400.

The previous prime is 173145430363. The next prime is 173145430421. The reversal of 173145430416 is 614034541371.

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, 124866 + ... + 601566.

Almost surely, 2173145430416 is an apocalyptic number.

173145430416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173145430416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272383709184).

173145430416 is an abundant number, since it is smaller than the sum of its proper divisors (371621987952).

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

173145430416 is a wasteful number, since it uses less digits than its factorization.

173145430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476789 (or 476783 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 173145430416 its reverse (614034541371), we get a palindrome (787179971787).

The spelling of 173145430416 in words is "one hundred seventy-three billion, one hundred forty-five million, four hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 47 48 56 69 84 92 94 112 138 141 161 168 184 188 276 282 322 329 336 368 376 483 552 564 644 658 752 966 987 1081 1104 1128 1288 1316 1932 1974 2162 2256 2576 2632 3243 3864 3948 4324 5264 6486 7567 7728 7896 8648 12972 15134 15792 17296 22701 25944 30268 45402 51888 60536 90804 121072 181608 363216 476701 953402 1430103 1906804 2860206 3336907 3813608 5720412 6673814 7627216 10010721 10964123 11440824 13347628 20021442 21928246 22404947 22881648 26695256 32892369 40042884 43856492 44809894 53390512 65784738 67214841 76748861 80085768 87712984 89619788 131569476 134429682 153497722 156834629 160171536 175425968 179239576 230246583 263138952 268859364 306995444 313669258 358479152 460493166 470503887 515313781 526277904 537718728 613990888 627338516 920986332 941007774 1030627562 1075437456 1227981776 1254677032 1545941343 1841972664 1882015548 2061255124 2509354064 3091882686 3607196467 3683945328 3764031096 4122510248 6183765372 7214392934 7528062192 8245020496 10821589401 12367530744 14428785868 21643178802 24735061488 28857571736 43286357604 57715143472 86572715208 173145430416