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505055000541 = 372132311490797
BaseRepresentation
bin1110101100101111001…
…11111011011111011101
31210021122011002100100210
413112113213323133131
531233323040004131
61024004041243033
751326506446300
oct7262747733735
91707564070323
10505055000541
111852134211a3
1281a71a93479
133881b4c5b60
141a632720b37
15d20e801146
hex75979fb7dd

505055000541 has 48 divisors (see below), whose sum is σ = 880287053184. Its totient is φ = 254819892096.

The previous prime is 505055000533. The next prime is 505055000561. The reversal of 505055000541 is 145000550505.

It is not a de Polignac number, because 505055000541 - 23 = 505055000533 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 505055000499 and 505055000508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505055000561) 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, 5701446 + ... + 5789351.

It is an arithmetic number, because the mean of its divisors is an integer number (18339313608).

Almost surely, 2505055000541 is an apocalyptic number.

It is an amenable number.

505055000541 is a deficient number, since it is larger than the sum of its proper divisors (375232052643).

505055000541 is a wasteful number, since it uses less digits than its factorization.

505055000541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11490850 (or 11490843 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The spelling of 505055000541 in words is "five hundred five billion, fifty-five million, five hundred forty-one", and thus it is an aban number.

Divisors: 1 3 7 13 21 23 39 49 69 91 147 161 273 299 483 637 897 1127 1911 2093 3381 6279 14651 43953 11490797 34472391 80435579 149380361 241306737 264288331 448141083 563049053 792864993 1045662527 1689147159 1850018317 3136987581 3435748303 5550054951 7319637689 10307244909 12950128219 21958913067 24050238121 38850384657 72150714363 168351666847 505055000541