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426705410000 = 2454419101839
BaseRepresentation
bin1100011010110011001…
…11111101011111010000
31111210101211111202112002
412031121213331133100
523442343041110000
6524005321453132
742554105066132
oct6153147753720
91453354452462
10426705410000
11154a68097181
126a8469411a8
13313132966ac
141691cc3d052
15b17618c8d5
hex63599fd7d0

426705410000 has 100 divisors (see below), whose sum is σ = 1035572260800. Its totient is φ = 170273136000.

The previous prime is 426705409969. The next prime is 426705410051. The reversal of 426705410000 is 14507624.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4139081 + ... + 4240919.

It is an arithmetic number, because the mean of its divisors is an integer number (10355722608).

Almost surely, 2426705410000 is an apocalyptic number.

426705410000 is a gapful number since it is divisible by the number (40) 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 426705410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517786130400).

426705410000 is an abundant number, since it is smaller than the sum of its proper divisors (608866850800).

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

426705410000 is a wasteful number, since it uses less digits than its factorization.

426705410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102286 (or 102265 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 426705410000 its reverse (14507624), we get a palindrome (426719917624).

The spelling of 426705410000 in words is "four hundred twenty-six billion, seven hundred five million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 419 500 625 838 1000 1250 1676 2000 2095 2500 3352 4190 5000 6704 8380 10000 10475 16760 20950 33520 41900 52375 83800 101839 104750 167600 203678 209500 261875 407356 419000 509195 523750 814712 838000 1018390 1047500 1629424 2036780 2095000 2545975 4073560 4190000 5091950 8147120 10183900 12729875 20367800 25459750 40735600 42670541 50919500 63649375 85341082 101839000 127298750 170682164 203678000 213352705 254597500 341364328 426705410 509195000 682728656 853410820 1018390000 1066763525 1706821640 2133527050 3413643280 4267054100 5333817625 8534108200 10667635250 17068216400 21335270500 26669088125 42670541000 53338176250 85341082000 106676352500 213352705000 426705410000