Search a number
-
+
173348300000 = 25553494967
BaseRepresentation
bin1010000101110001011…
…1010010010011100000
3121120102221102001020102
42201130113102103200
510320004131100000
6211345103401532
715344506144511
oct2413427222340
9546387361212
10173348300000
1167575661557
1229719bb32a8
131346784aaa5
148566626a08
15479878e3d5
hex285c5d24e0

173348300000 has 144 divisors (see below), whose sum is σ = 427880426400. Its totient is φ = 69126720000.

The previous prime is 173348299987. The next prime is 173348300011. The reversal of 173348300000 is 3843371.

173348300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1733483000002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34897517 + ... + 34902483.

It is an arithmetic number, because the mean of its divisors is an integer number (2971391850).

Almost surely, 2173348300000 is an apocalyptic number.

173348300000 is a gapful number since it is divisible by the number (10) 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 173348300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213940213200).

173348300000 is an abundant number, since it is smaller than the sum of its proper divisors (254532126400).

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

173348300000 is an frugal number, since it uses more digits than its factorization.

173348300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 173348300000 in words is "one hundred seventy-three billion, three hundred forty-eight million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 349 400 500 625 698 800 1000 1250 1396 1745 2000 2500 2792 3125 3490 4000 4967 5000 5584 6250 6980 8725 9934 10000 11168 12500 13960 17450 19868 20000 24835 25000 27920 34900 39736 43625 49670 50000 55840 69800 79472 87250 99340 100000 124175 139600 158944 174500 198680 218125 248350 279200 349000 397360 436250 496700 620875 698000 794720 872500 993400 1090625 1241750 1396000 1733483 1745000 1986800 2181250 2483500 3104375 3466966 3490000 3973600 4362500 4967000 6208750 6933932 6980000 8667415 8725000 9934000 12417500 13867864 15521875 17334830 17450000 19868000 24835000 27735728 31043750 34669660 34900000 43337075 49670000 55471456 62087500 69339320 86674150 99340000 124175000 138678640 173348300 216685375 248350000 277357280 346696600 433370750 496700000 693393200 866741500 1083426875 1386786400 1733483000 2166853750 3466966000 4333707500 5417134375 6933932000 8667415000 10834268750 17334830000 21668537500 34669660000 43337075000 86674150000 173348300000