Search a number
-
+
568346128700 = 2252741197310037
BaseRepresentation
bin10000100010101000001…
…00011011000100111100
32000100000000111210012112
420101110010123010330
533302433102104300
61113032233553152
756030101245650
oct10212404330474
92010000453175
10568346128700
111aa041633589
1292195b757b8
1341796a4a14c
141d718320a60
15ebb5e52e35
hex845411b13c

568346128700 has 144 divisors (see below), whose sum is σ = 1444752154944. Its totient is φ = 189993523200.

The previous prime is 568346128699. The next prime is 568346128709. The reversal of 568346128700 is 7821643865.

It is a super-3 number, since 3×5683461287003 (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (568346128709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56620082 + ... + 56630118.

It is an arithmetic number, because the mean of its divisors is an integer number (10033001076).

Almost surely, 2568346128700 is an apocalyptic number.

568346128700 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 568346128700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722376077472).

568346128700 is an abundant number, since it is smaller than the sum of its proper divisors (876406026244).

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

568346128700 is a wasteful number, since it uses less digits than its factorization.

568346128700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12072 (or 12065 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 50.

The spelling of 568346128700 in words is "five hundred sixty-eight billion, three hundred forty-six million, one hundred twenty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 1973 2050 2870 3946 4100 5740 7175 7892 9865 10037 13811 14350 19730 20074 27622 28700 39460 40148 49325 50185 55244 69055 70259 80893 98650 100370 138110 140518 161786 197300 200740 250925 276220 281036 323572 345275 351295 404465 411517 501850 566251 690550 702590 808930 823034 1003700 1132502 1381100 1405180 1617860 1646068 1756475 2022325 2057585 2265004 2831255 2880619 3512950 4044650 4115170 5662510 5761238 7025900 8089300 8230340 10287925 11325020 11522476 14156275 14403095 19803001 20575850 28312550 28806190 39606002 41151700 56625100 57612380 72015475 79212004 99015005 138621007 144030950 198030010 277242014 288061900 396060020 495075025 554484028 693105035 811923041 990150050 1386210070 1623846082 1980300100 2772420140 3247692164 3465525175 4059615205 5683461287 6931050350 8119230410 11366922574 13862100700 16238460820 20298076025 22733845148 28417306435 40596152050 56834612870 81192304100 113669225740 142086532175 284173064350 568346128700