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20178128300 = 225211127144439
BaseRepresentation
bin10010110010101101…
…011100110110101100
31221002020201010100012
4102302231130312230
5312311100101200
613134131152352
71313014155251
oct226255346654
957066633305
1020178128300
1186150334a0
123ab17456b8
131b975748b5
14d95c13428
157d1704a35
hex4b2b5cdac

20178128300 has 72 divisors (see below), whose sum is σ = 48143585280. Its totient is φ = 7279675200.

The previous prime is 20178128281. The next prime is 20178128353. The reversal of 20178128300 is 382187102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67481 + ... + 211919.

Almost surely, 220178128300 is an apocalyptic number.

20178128300 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 20178128300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071792640).

20178128300 is an abundant number, since it is smaller than the sum of its proper divisors (27965456980).

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

20178128300 is a wasteful number, since it uses less digits than its factorization.

20178128300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144591 (or 144584 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 20178128300 in words is "twenty billion, one hundred seventy-eight million, one hundred twenty-eight thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 27940 34925 69850 139700 144439 288878 577756 722195 1444390 1588829 2888780 3177658 3610975 6355316 7221950 7944145 14443900 15888290 18343753 31776580 36687506 39720725 73375012 79441450 91718765 158882900 183437530 201781283 366875060 403562566 458593825 807125132 917187650 1008906415 1834375300 2017812830 4035625660 5044532075 10089064150 20178128300