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20152255450400 = 2552173596341203
BaseRepresentation
bin1001001010100000100000…
…00001110000110100100000
32122100112111022221202211022
410211100100001300310200
510120133304343403100
6110505452432505012
74146644451010163
oct445202001606440
978315438852738
1020152255450400
11646a583919487
1223157856ab168
13b32470c0aa18
144d95353a1ada
1524e316986e85
hex125410070d20

20152255450400 has 144 divisors (see below), whose sum is σ = 52093329501024. Its totient is φ = 7586336378880.

The previous prime is 20152255450343. The next prime is 20152255450403. The reversal of 20152255450400 is 405455225102.

It is a super-2 number, since 2×201522554504002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20152255450403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489076199 + ... + 489117401.

It is an arithmetic number, because the mean of its divisors is an integer number (361759232646).

Almost surely, 220152255450400 is an apocalyptic number.

20152255450400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20152255450400 is an abundant number, since it is smaller than the sum of its proper divisors (31941074050624).

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

20152255450400 is a wasteful number, since it uses less digits than its factorization.

20152255450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77203 (or 77190 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 35.

The spelling of 20152255450400 in words is "twenty trillion, one hundred fifty-two billion, two hundred fifty-five million, four hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 136 160 170 200 272 340 400 425 544 680 800 850 1360 1700 2720 3400 6800 13600 35963 41203 71926 82406 143852 164812 179815 206015 287704 329624 359630 412030 575408 611371 659248 700451 719260 824060 899075 1030075 1150816 1222742 1318496 1400902 1438520 1648120 1798150 2060150 2445484 2801804 2877040 3056855 3296240 3502255 3596300 4120300 4890968 5603608 5754080 6113710 6592480 7004510 7192600 8240600 9781936 11207216 12227420 14009020 14385200 15284275 16481200 17511275 19563872 22414432 24454840 28018040 28770400 30568550 32962400 35022550 48909680 56036080 61137100 70045100 97819360 112072160 122274200 140090200 244548400 280180400 489096800 560360800 1481783489 2963566978 5927133956 7408917445 11854267912 14817834890 23708535824 25190319313 29635669780 37044587225 47417071648 50380638626 59271339560 74089174450 100761277252 118542679120 125951596565 148178348900 201522554504 237085358240 251903193130 296356697800 403045109008 503806386260 592713395600 629757982825 806090218016 1007612772520 1185426791200 1259515965650 2015225545040 2519031931300 4030451090080 5038063862600 10076127725200 20152255450400