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20150201056000 = 28533581175843
BaseRepresentation
bin1001001010011100101011…
…00100110111101100000000
32122100100012011020201111211
410211032111210313230000
510120120102432243000
6110504512524015504
74146542523646141
oct445162544675400
978310164221454
1020150201056000
11646971a1aa574
1223152b1691594
13b322043ca032
144d93bc5c7ac8
1524e24642c7ba
hex125395937b00

20150201056000 has 144 divisors (see below), whose sum is σ = 50210972648928. Its totient is φ = 8057783808000.

The previous prime is 20150201055979. The next prime is 20150201056043. The reversal of 20150201056000 is 65010205102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114504079 + ... + 114679921.

It is an arithmetic number, because the mean of its divisors is an integer number (348687310062).

Almost surely, 220150201056000 is an apocalyptic number.

20150201056000 is a gapful number since it is divisible by the number (20) 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 20150201056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25105486324464).

20150201056000 is an abundant number, since it is smaller than the sum of its proper divisors (30060771592928).

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

20150201056000 is an equidigital number, since it uses as much as digits as its factorization.

20150201056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179455 (or 179431 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 20150201056000 in words is "twenty trillion, one hundred fifty billion, two hundred one million, fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 3581 4000 6400 7162 8000 14324 16000 17905 28648 32000 35810 57296 71620 89525 114592 143240 175843 179050 229184 286480 351686 358100 447625 458368 572960 703372 716200 879215 895250 916736 1145920 1406744 1432400 1758430 1790500 2291840 2813488 2864800 3516860 3581000 4396075 4583680 5626976 5729600 7033720 7162000 8792150 11253952 11459200 14067440 14324000 17584300 21980375 22507904 22918400 28134880 28648000 35168600 43960750 45015808 56269760 57296000 70337200 87921500 112539520 114592000 140674400 175843000 225079040 281348800 351686000 562697600 629693783 703372000 1125395200 1259387566 1406744000 2518775132 2813488000 3148468915 5037550264 5626976000 6296937830 10075100528 12593875660 15742344575 20150201056 25187751320 31484689150 40300402112 50375502640 62969378300 78711722875 80600804224 100751005280 125938756600 157423445750 161201608448 201502010560 251877513200 314846891500 403004021120 503755026400 629693783000 806008042240 1007510052800 1259387566000 2015020105600 2518775132000 4030040211200 5037550264000 10075100528000 20150201056000