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20512240000 = 2754736629
BaseRepresentation
bin10011000110100111…
…111111000110000000
31221221112101202102121
4103012213333012000
5314002113140000
613231224254024
71324212106660
oct230647770600
957845352377
1020512240000
11877669656a
123b85611314
131c1b857025
14dc83461a0
15800c00b1a
hex4c69ff180

20512240000 has 160 divisors (see below), whose sum is σ = 58360381200. Its totient is φ = 7032576000.

The previous prime is 20512239977. The next prime is 20512240013. The reversal of 20512240000 is 4221502.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 541686 + ... + 578314.

Almost surely, 220512240000 is an apocalyptic number.

20512240000 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 20512240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29180190600).

20512240000 is an abundant number, since it is smaller than the sum of its proper divisors (37848141200).

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

20512240000 is an frugal number, since it uses more digits than its factorization.

20512240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36670 (or 36643 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 20512240000 its reverse (4221502), we get a palindrome (20516461502).

The spelling of 20512240000 in words is "twenty billion, five hundred twelve million, two hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 625 640 700 800 875 896 1000 1120 1250 1400 1600 1750 2000 2240 2500 2800 3200 3500 4000 4375 4480 5000 5600 7000 8000 8750 10000 11200 14000 16000 17500 20000 22400 28000 35000 36629 40000 56000 70000 73258 80000 112000 140000 146516 183145 256403 280000 293032 366290 512806 560000 586064 732580 915725 1025612 1172128 1282015 1465160 1831450 2051224 2344256 2564030 2930320 3662900 4102448 4578625 4688512 5128060 5860640 6410075 7325800 8204896 9157250 10256120 11721280 12820150 14651600 16409792 18314500 20512240 22893125 23442560 25640300 29303200 32050375 32819584 36629000 41024480 45786250 51280600 58606400 64100750 73258000 82048960 91572500 102561200 117212800 128201500 146516000 160251875 164097920 183145000 205122400 256403000 293032000 320503750 366290000 410244800 512806000 586064000 641007500 732580000 820489600 1025612000 1282015000 1465160000 2051224000 2564030000 2930320000 4102448000 5128060000 10256120000 20512240000