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20057277305142 = 23271114471340047
BaseRepresentation
bin1001000111101111100101…
…11000111001000100110110
32122000110100010211002012200
410203313302320321010312
510112104300442231032
6110354104101325330
74140043013051460
oct443676270710466
978013303732180
1020057277305142
116433275168160
1222bb299706846
13b2651593c57c
144d4ac5291130
1524bb0856e47c
hex123df2e39136

20057277305142 has 48 divisors (see below), whose sum is σ = 54180697139712. Its totient is φ = 5209682416560.

The previous prime is 20057277305141. The next prime is 20057277305147. The reversal of 20057277305142 is 24150377275002.

20057277305142 is a `hidden beast` number, since 2 + 0 + 0 + 572 + 7 + 7 + 30 + 5 + 1 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20057277305141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7235668638 + ... + 7235671409.

It is an arithmetic number, because the mean of its divisors is an integer number (1128764523744).

Almost surely, 220057277305142 is an apocalyptic number.

20057277305142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20057277305142 is an abundant number, since it is smaller than the sum of its proper divisors (34123419834570).

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

20057277305142 is a wasteful number, since it uses less digits than its factorization.

20057277305142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471340073 (or 14471340070 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 20057277305142 in words is "twenty trillion, fifty-seven billion, two hundred seventy-seven million, three hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 14471340047 28942680094 43414020141 86828040282 101299380329 130242060423 159184740517 202598760658 260484120846 303898140987 318369481034 477554221551 607796281974 911694422961 955108443102 1114293183619 1432662664653 1823388845922 2228586367238 2865325329306 3342879550857 6685759101714 10028638652571 20057277305142