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1000493662300 = 2252115949131397
BaseRepresentation
bin11101000111100100001…
…00011100000001011100
310112122110010100001211221
432203302010130001130
5112343002334143200
62043342003223124
7132166110545506
oct16436204340134
93478403301757
101000493662300
11356341653770
12141a9b377aa4
1373466642002
14365d1c2cd76
151b059c7b91a
hexe8f211c05c

1000493662300 has 144 divisors (see below), whose sum is σ = 2413566771840. Its totient is φ = 356909728000.

The previous prime is 1000493662297. The next prime is 1000493662309. The reversal of 1000493662300 is 32663940001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000493662309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31850202 + ... + 31881598.

It is an arithmetic number, because the mean of its divisors is an integer number (16760880360).

Almost surely, 21000493662300 is an apocalyptic number.

1000493662300 is a gapful number since it is divisible by the number (10) 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 1000493662300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206783385920).

1000493662300 is an abundant number, since it is smaller than the sum of its proper divisors (1413073109540).

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

1000493662300 is a wasteful number, since it uses less digits than its factorization.

1000493662300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31972 (or 31965 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 1000493662300 in words is "one trillion, four hundred ninety-three million, six hundred sixty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 491 550 590 649 982 1100 1180 1298 1475 1964 2455 2596 2950 3245 4910 5401 5900 6490 9820 10802 12275 12980 16225 21604 24550 27005 28969 31397 32450 49100 54010 57938 62794 64900 108020 115876 125588 135025 144845 156985 270050 289690 313970 318659 345367 540100 579380 627940 637318 690734 724225 784925 1274636 1381468 1448450 1569850 1593295 1726835 1852423 2896900 3139700 3186590 3453670 3704846 6373180 6907340 7409692 7966475 8634175 9262115 15415927 15932950 17268350 18524230 20376653 30831854 31865900 34536700 37048460 40753306 46310575 61663708 77079635 81506612 92621150 101883265 154159270 169575197 185242300 203766530 308318540 339150394 385398175 407533060 509416325 678300788 770796350 847875985 909539693 1018832650 1541592700 1695751970 1819079386 2037665300 3391503940 3638158772 4239379925 4547698465 8478759850 9095396930 10004936623 16957519700 18190793860 20009873246 22738492325 40019746492 45476984650 50024683115 90953969300 100049366230 200098732460 250123415575 500246831150 1000493662300