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81257111420058 = 232728112231876541
BaseRepresentation
bin10010011110011100100101…
…010000101111110010011010
3101122201002210210202212121100
4102132130211100233302122
541122304031010420213
6444453000205052230
723054426653643250
oct2236344520576232
9348632723685540
1081257111420058
1123988a47034442
12914420a257076
1336456886043b2
14160cc180905d0
1595da3d491773
hex49e72542fc9a

81257111420058 has 96 divisors (see below), whose sum is σ = 202089341705472. Its totient is φ = 23114769350400.

The previous prime is 81257111420057. The next prime is 81257111420161. The reversal of 81257111420058 is 85002411175218.

81257111420058 is a `hidden beast` number, since 8 + 1 + 2 + 571 + 1 + 1 + 4 + 20 + 0 + 58 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81257111419995 and 81257111420022.

It is not an unprimeable number, because it can be changed into a prime (81257111420057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42363268 + ... + 44239808.

It is an arithmetic number, because the mean of its divisors is an integer number (2105097309432).

Almost surely, 281257111420058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81257111420058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101044670852736).

81257111420058 is an abundant number, since it is smaller than the sum of its proper divisors (120832230285414).

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

81257111420058 is a wasteful number, since it uses less digits than its factorization.

81257111420058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878060 (or 1878057 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 81257111420058 in words is "eighty-one trillion, two hundred fifty-seven billion, one hundred eleven million, four hundred twenty thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 281 562 843 1223 1686 1967 2446 2529 3669 3934 5058 5901 7338 8561 11007 11802 17122 17703 22014 25683 35406 51366 77049 154098 343663 687326 1030989 1876541 2061978 2405641 3092967 3753082 4811282 5629623 6185934 7216923 11259246 13135787 14433846 16888869 21650769 26271574 33777738 39407361 43301538 78814722 118222083 236444166 527308021 1054616042 1581924063 2295009643 3163848126 3691156147 4590019286 4745772189 6885028929 7382312294 9491544378 11073468441 13770057858 16065067501 20655086787 22146936882 32130135002 33220405323 41310173574 48195202503 66440810646 96390405006 144585607509 289171215018 644897709683 1289795419366 1934693129049 3869386258098 4514283967781 5804079387147 9028567935562 11608158774294 13542851903343 27085703806686 40628555710029 81257111420058