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20085450742152 = 23322816611501901
BaseRepresentation
bin1001001000100100000100…
…01010000001100110001000
32122010011001121002222012200
410210102002022001212020
510113040000342222102
6110415043444040200
74142061123241005
oct444220212014610
978104047088180
1020085450742152
1164442123543a4
122304840993060
13b29085773b63
144d61d8caa8ac
1524c706b4451c
hex124482281988

20085450742152 has 96 divisors (see below), whose sum is σ = 54674309228760. Its totient is φ = 6661226880000.

The previous prime is 20085450742139. The next prime is 20085450742163. The reversal of 20085450742152 is 25124705458002.

20085450742152 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 5 + 450 + 7 + 42 + 152 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16885738319076 + 3199712423076 = 4109226^2 + 1788774^2 .

It is a super-2 number, since 2×200854507421522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20085450742098 and 20085450742107.

It is an unprimeable number.

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, 12622402 + ... + 14124302.

Almost surely, 220085450742152 is an apocalyptic number.

It is an amenable number.

20085450742152 is an abundant number, since it is smaller than the sum of its proper divisors (34588858486608).

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

20085450742152 is a wasteful number, since it uses less digits than its factorization.

20085450742152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502855 (or 1502848 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 20085450742152 in words is "twenty trillion, eighty-five billion, four hundred fifty million, seven hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 281 562 661 843 1124 1322 1686 1983 2248 2529 2644 3372 3966 5058 5288 5949 6744 7932 10116 11898 15864 20232 23796 47592 185741 371482 557223 742964 1114446 1485928 1501901 1671669 2228892 3003802 3343338 4457784 4505703 6007604 6686676 9011406 12015208 13373352 13517109 18022812 27034218 36045624 54068436 108136872 422034181 844068362 992756561 1266102543 1688136724 1985513122 2532205086 2978269683 3376273448 3798307629 3971026244 5064410172 5956539366 7596615258 7942052488 8934809049 10128820344 11913078732 15193230516 17869618098 23826157464 30386461032 35739236196 71478472392 278964593641 557929187282 836893780923 1115858374564 1673787561846 2231716749128 2510681342769 3347575123692 5021362685538 6695150247384 10042725371076 20085450742152