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20143616000 = 2125339343
BaseRepresentation
bin10010110000101001…
…110011000000000000
31220222211202201100212
4102300221303000000
5312223231203000
613130455333252
71312114624304
oct226051630000
956884681325
1020143616000
1185a7600932
123aa2081228
131b9037cb11
14d913cbd04
157cd688c35
hex4b0a73000

20143616000 has 104 divisors (see below), whose sum is σ = 50273605824. Its totient is φ = 8057241600.

The previous prime is 20143615981. The next prime is 20143616011. The reversal of 20143616000 is 61634102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 492329 + ... + 531671.

It is an arithmetic number, because the mean of its divisors is an integer number (483400056).

Almost surely, 220143616000 is an apocalyptic number.

20143616000 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 20143616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25136802912).

20143616000 is an abundant number, since it is smaller than the sum of its proper divisors (30129989824).

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

20143616000 is an frugal number, since it uses more digits than its factorization.

20143616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39382 (or 39350 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 20143616000 in words is "twenty billion, one hundred forty-three million, six hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 10240 12800 16000 20480 25600 32000 39343 51200 64000 78686 102400 128000 157372 196715 256000 314744 393430 512000 629488 786860 983575 1258976 1573720 1967150 2517952 3147440 3934300 4917875 5035904 6294880 7868600 9835750 10071808 12589760 15737200 19671500 20143616 25179520 31474400 39343000 40287232 50359040 62948800 78686000 80574464 100718080 125897600 157372000 161148928 201436160 251795200 314744000 402872320 503590400 629488000 805744640 1007180800 1258976000 2014361600 2517952000 4028723200 5035904000 10071808000 20143616000