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2028525670480 = 2451743116632081
BaseRepresentation
bin11101100001001101100…
…011010101000001010000
321011220222102221001110011
4131201031203111001100
5231213410032423410
64151520345044304
7266361520463101
oct35411543250120
97156872831404
102028525670480
11712324948271
12289185186694
1311939b35462a
14702771983a8
1537b7747d18a
hex1d84d8d5050

2028525670480 has 160 divisors (see below), whose sum is σ = 5010755862528. Its totient is φ = 761084313600.

The previous prime is 2028525670453. The next prime is 2028525670513. The reversal of 2028525670480 is 840765258202.

It is a happy number.

It is a super-2 number, since 2×20285256704802 (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 974783040 + ... + 974785120.

Almost surely, 22028525670480 is an apocalyptic number.

2028525670480 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 2028525670480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505377931264).

2028525670480 is an abundant number, since it is smaller than the sum of its proper divisors (2982230192048).

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

2028525670480 is a wasteful number, since it uses less digits than its factorization.

2028525670480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

The spelling of 2028525670480 in words is "two trillion, twenty-eight billion, five hundred twenty-five million, six hundred seventy thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 431 680 862 1360 1663 1724 2081 2155 3326 3448 4162 4310 6652 6896 7327 8315 8324 8620 10405 13304 14654 16630 16648 17240 20810 26608 28271 29308 33260 33296 34480 35377 36635 41620 56542 58616 66520 70754 73270 83240 113084 117232 133040 141355 141508 146540 166480 176885 226168 282710 283016 293080 353770 452336 565420 566032 586160 707540 716753 896911 1130840 1415080 1433506 1793822 2261680 2830160 2867012 3460703 3583765 3587644 4484555 5734024 6921406 7167530 7175288 8969110 11468048 12184801 13842812 14335060 14350576 15247487 17303515 17938220 24369602 27685624 28670120 30494974 34607030 35876440 48739204 55371248 57340240 58831951 60924005 60989948 69214060 71752880 76237435 97478408 117663902 121848010 121979896 138428120 152474870 194956816 235327804 243696020 243959792 276856240 294159755 304949740 470655608 487392040 588319510 609899480 941311216 974784080 1176639020 1219798960 1491562993 2353278040 2983125986 4706556080 5966251972 7457814965 11932503944 14915629930 23865007888 25356570881 29831259860 50713141762 59662519720 101426283524 119325039440 126782854405 202852567048 253565708810 405705134096 507131417620 1014262835240 2028525670480