Search a number
-
+
10742922000 = 243353198943
BaseRepresentation
bin10100000000101001…
…11111101100010000
31000201200200222112000
422000110333230100
5134000142001000
64534002034000
7530135221206
oct120024775420
930650628460
1010742922000
114613110338
1220b9948900
1310228a73a5
1473cab1076
1542d20d000
hex28053fb10

10742922000 has 160 divisors (see below), whose sum is σ = 38483727360. Its totient is φ = 2864764800.

The previous prime is 10742921983. The next prime is 10742922007. The reversal of 10742922000 is 22924701.

10742922000 is a `hidden beast` number, since 10 + 7 + 429 + 220 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10742922007) 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, 45472 + ... + 153471.

It is an arithmetic number, because the mean of its divisors is an integer number (240523296).

Almost surely, 210742922000 is an apocalyptic number.

10742922000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10742922000 is an abundant number, since it is smaller than the sum of its proper divisors (27740805360).

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

10742922000 is a wasteful number, since it uses less digits than its factorization.

10742922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198975 (or 198953 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10742922000 in words is "ten billion, seven hundred forty-two million, nine hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 198943 397886 596829 795772 994715 1193658 1591544 1790487 1989430 2387316 2984145 3183088 3580974 3978860 4774632 4973575 5371461 5968290 7161948 7957720 8952435 9549264 9947150 10742922 11936580 14323896 14920725 15915440 17904870 19894300 21485844 23873160 24867875 26857305 28647792 29841450 35809740 39788600 42971688 44762175 47746320 49735750 53714610 59682900 71619480 74603625 79577200 85943376 89524350 99471500 107429220 119365800 134286525 143238960 149207250 179048700 198943000 214858440 223810875 238731600 268573050 298414500 358097400 397886000 429716880 447621750 537146100 596829000 671432625 716194800 895243500 1074292200 1193658000 1342865250 1790487000 2148584400 2685730500 3580974000 5371461000 10742922000