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20523334400 = 285214532207
BaseRepresentation
bin10011000111010010…
…010011101100000000
31221222022021102002022
4103013102103230000
5314012433200100
613232302141012
71324405315112
oct230722235400
957868242068
1020523334400
118781983998
123b89281768
131c20c3ca6a
14dc99d33b2
15801b92e85
hex4c7493b00

20523334400 has 108 divisors (see below), whose sum is σ = 50856453312. Its totient is φ = 8199966720.

The previous prime is 20523334369. The next prime is 20523334487. The reversal of 20523334400 is 443332502.

It is a self number, because there is not a number n which added to its sum of digits gives 20523334400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9298097 + ... + 9300303.

Almost surely, 220523334400 is an apocalyptic number.

20523334400 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 20523334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25428226656).

20523334400 is an abundant number, since it is smaller than the sum of its proper divisors (30333118912).

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

20523334400 is a wasteful number, since it uses less digits than its factorization.

20523334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

Adding to 20523334400 its reverse (443332502), we get a palindrome (20966666902).

The spelling of 20523334400 in words is "twenty billion, five hundred twenty-three million, three hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1453 1600 2207 2906 3200 4414 5812 6400 7265 8828 11035 11624 14530 17656 22070 23248 29060 35312 36325 44140 46496 55175 58120 70624 72650 88280 92992 110350 116240 141248 145300 176560 185984 220700 232480 282496 290600 353120 371968 441400 464960 564992 581200 706240 882800 929920 1162400 1412480 1765600 1859840 2324800 2824960 3206771 3531200 4649600 6413542 7062400 9299200 12827084 14124800 16033855 25654168 32067710 51308336 64135420 80169275 102616672 128270840 160338550 205233344 256541680 320677100 410466688 513083360 641354200 820933376 1026166720 1282708400 2052333440 2565416800 4104666880 5130833600 10261667200 20523334400