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20132054000 = 245328335569
BaseRepresentation
bin10010101111111101…
…101100001111110000
31220222001000022021122
4102233331230033300
5312212301212000
613125403441412
71311614430662
oct225775541760
956861008248
1020132054000
1185a1024163
123a9a226268
131b8ab622b6
14d8da5c532
157cc653085
hex4aff6c3f0

20132054000 has 80 divisors (see below), whose sum is σ = 48852691680. Its totient is φ = 8024140800.

The previous prime is 20132053999. The next prime is 20132054017. The reversal of 20132054000 is 45023102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 20132054000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548216 + ... + 583784.

It is an arithmetic number, because the mean of its divisors is an integer number (610658646).

Almost surely, 220132054000 is an apocalyptic number.

20132054000 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 20132054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24426345840).

20132054000 is an abundant number, since it is smaller than the sum of its proper divisors (28720637680).

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

20132054000 is a wasteful number, since it uses less digits than its factorization.

20132054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35875 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 20132054000 its reverse (45023102), we get a palindrome (20177077102).

The spelling of 20132054000 in words is "twenty billion, one hundred thirty-two million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 283 400 500 566 1000 1132 1415 2000 2264 2830 4528 5660 7075 11320 14150 22640 28300 35375 35569 56600 70750 71138 113200 141500 142276 177845 283000 284552 355690 566000 569104 711380 889225 1422760 1778450 2845520 3556900 4446125 7113800 8892250 10066027 14227600 17784500 20132054 35569000 40264108 50330135 71138000 80528216 100660270 161056432 201320540 251650675 402641080 503301350 805282160 1006602700 1258253375 2013205400 2516506750 4026410800 5033013500 10066027000 20132054000