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241662730075542 = 2321715749991006249
BaseRepresentation
bin110110111100101001111101…
…001011100111110110010110
31011200122201202011112120012100
4312330221331023213312112
5223133400232344404132
62213550154153502530
7101621361510001116
oct6674517513476626
91150581664476170
10241662730075542
1170001651aa2046
122312ba33411a46
13a4ac90b9c3769
144396777aa1046
151ce130761937c
hexdbca7d2e7d96

241662730075542 has 96 divisors (see below), whose sum is σ = 558046125000000. Its totient is φ = 75317711099904.

The previous prime is 241662730075523. The next prime is 241662730075553. The reversal of 241662730075542 is 245570037266142.

241662730075542 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 6 + 27 + 3 + 0 + 0 + 75 + 542 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239658834 + ... + 240665082.

It is an arithmetic number, because the mean of its divisors is an integer number (5812980468750).

Almost surely, 2241662730075542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241662730075542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279023062500000).

241662730075542 is an abundant number, since it is smaller than the sum of its proper divisors (316383394924458).

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

241662730075542 is a wasteful number, since it uses less digits than its factorization.

241662730075542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011430 (or 1011427 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 241662730075542 in words is "two hundred forty-one trillion, six hundred sixty-two billion, seven hundred thirty million, seventy-five thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 157 306 314 471 942 1413 2669 2826 4999 5338 8007 9998 14997 16014 24021 29994 44991 48042 84983 89982 169966 254949 509898 764847 784843 1006249 1529694 1569686 2012498 2354529 3018747 4709058 6037494 7063587 9056241 13342331 14127174 17106233 18112482 26684662 34212466 40026993 51318699 80053986 102637398 120080979 153956097 157981093 240161958 307912194 315962186 473943279 947886558 1421829837 2685678581 2843659674 5030238751 5371357162 8057035743 10060477502 15090716253 16114071486 24171107229 30181432506 45272148759 48342214458 85514058767 90544297518 171028117534 256542176301 513084352602 769626528903 789747483907 1539253057806 1579494967814 2369242451721 4738484903442 7107727355163 13425707226419 14215454710326 26851414452838 40277121679257 80554243358514 120831365037771 241662730075542