Search a number
-
+
552321313000 = 235317136723767
BaseRepresentation
bin10000000100110001110…
…10100110100011101000
31221210122012222210122221
420002120322212203220
533022123224004000
61101422150323424
754622015461442
oct10023072464350
91853565883587
10552321313000
111a3268a89346
128b063359574
1340111ab5892
141ca37d6d492
15e5791a961a
hex8098ea68e8

552321313000 has 128 divisors (see below), whose sum is σ = 1369515962880. Its totient is φ = 207771878400.

The previous prime is 552321312989. The next prime is 552321313003. The reversal of 552321313000 is 313123255.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (552321313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23227117 + ... + 23250883.

It is an arithmetic number, because the mean of its divisors is an integer number (10699343460).

Almost surely, 2552321313000 is an apocalyptic number.

552321313000 is a gapful number since it is divisible by the number (50) 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 552321313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684757981440).

552321313000 is an abundant number, since it is smaller than the sum of its proper divisors (817194649880).

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

552321313000 is a wasteful number, since it uses less digits than its factorization.

552321313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25172 (or 25158 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 552321313000 its reverse (313123255), we get a palindrome (552634436255).

The spelling of 552321313000 in words is "five hundred fifty-two billion, three hundred twenty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1367 1700 2125 2734 3400 4250 5468 6835 8500 10936 13670 17000 23239 23767 27340 34175 46478 47534 54680 68350 92956 95068 116195 118835 136700 170875 185912 190136 232390 237670 273400 341750 404039 464780 475340 580975 594175 683500 808078 929560 950680 1161950 1188350 1367000 1616156 2020195 2323900 2376700 2904875 2970875 3232312 4040390 4647800 4753400 5809750 5941750 8080780 10100975 11619500 11883500 16161560 20201950 23239000 23767000 32489489 40403900 50504875 64978978 80807800 101009750 129957956 162447445 202019500 259915912 324894890 404039000 552321313 649789780 812237225 1104642626 1299579560 1624474450 2209285252 2761606565 3248948900 4061186125 4418570504 5523213130 6497897800 8122372250 11046426260 13808032825 16244744500 22092852520 27616065650 32489489000 55232131300 69040164125 110464262600 138080328250 276160656500 552321313000