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20050737672400 = 2452176434585751
BaseRepresentation
bin1001000111100011011010…
…00110001011000011010000
32121222211110101100022120121
410203301231012023003100
510112002402321004100
6110351103130320024
74136421654101011
oct443615506130320
977884411308517
1020050737672400
1164305197702a6
1222b9b73589014
13b25a12b230b6
144d4664931008
1524b87439051a
hex123c6d18b0d0

20050737672400 has 120 divisors (see below), whose sum is σ = 51084873733824. Its totient is φ = 7536771840000.

The previous prime is 20050737672397. The next prime is 20050737672401. The reversal of 20050737672400 is 427673705002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20050737672401) 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 23 ways as a sum of consecutive naturals, for example, 2079525 + ... + 6665275.

Almost surely, 220050737672400 is an apocalyptic number.

20050737672400 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 20050737672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25542436866912).

20050737672400 is an abundant number, since it is smaller than the sum of its proper divisors (31034136061424).

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

20050737672400 is a wasteful number, since it uses less digits than its factorization.

20050737672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4586429 (or 4586418 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 43.

The spelling of 20050737672400 in words is "twenty trillion, fifty billion, seven hundred thirty-seven million, six hundred seventy-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 643 680 850 1286 1360 1700 2572 3215 3400 5144 6430 6800 10288 10931 12860 16075 21862 25720 32150 43724 51440 54655 64300 87448 109310 128600 174896 218620 257200 273275 437240 546550 874480 1093100 2186200 4372400 4585751 9171502 18343004 22928755 36686008 45857510 73372016 77957767 91715020 114643775 155915534 183430040 229287550 311831068 366860080 389788835 458575100 623662136 779577670 917150200 1247324272 1559155340 1834300400 1948944175 2948637893 3118310680 3897888350 5897275786 6236621360 7795776700 11794551572 14743189465 15591553400 23589103144 29486378930 31183106800 47178206288 50126844181 58972757860 73715947325 100253688362 117945515720 147431894650 200507376724 235891031440 250634220905 294863789300 401014753448 501268441810 589727578600 802029506896 1002536883620 1179455157200 1253171104525 2005073767240 2506342209050 4010147534480 5012684418100 10025368836200 20050737672400