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1682363033800 = 235217494812657
BaseRepresentation
bin11000011110110100101…
…001101010100011001000
312221211110202212002221121
4120132310221222203020
5210030434414040200
63324511130245024
7232355344561021
oct30366451524310
95854422762847
101682363033800
11599539089869
12232077b86774
13c28527a2ab7
145b5d9221c48
152db67275e1a
hex187b4a6a8c8

1682363033800 has 48 divisors (see below), whose sum is σ = 4141581947460. Its totient is φ = 633360199680.

The previous prime is 1682363033777. The next prime is 1682363033801. The reversal of 1682363033800 is 83303632861.

It can be written as a sum of positive squares in 6 ways, for example, as 616542180804 + 1065820852996 = 785202^2 + 1032386^2 .

It is not an unprimeable number, because it can be changed into a prime (1682363033801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 247402929 + ... + 247409728.

Almost surely, 21682363033800 is an apocalyptic number.

1682363033800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682363033800 is an abundant number, since it is smaller than the sum of its proper divisors (2459218913660).

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

1682363033800 is a wasteful number, since it uses less digits than its factorization.

1682363033800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494812690 (or 494812681 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 1682363033800 in words is "one trillion, six hundred eighty-two billion, three hundred sixty-three million, thirty-three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 494812657 989625314 1979250628 2474063285 3958501256 4948126570 8411815169 9896253140 12370316425 16823630338 19792506280 24740632850 33647260676 42059075845 49481265700 67294521352 84118151690 98962531400 168236303380 210295379225 336472606760 420590758450 841181516900 1682363033800