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541683930474 = 232236121449431
BaseRepresentation
bin1111110000111101110…
…00001101010101101010
31220210011212212210002100
413320132320031111222
532333332041233344
61052502434314230
754064301303421
oct7703670152552
91823155783070
10541683930474
111997aa503415
1288b94a28976
133c1080414ab
141c3092d22b8
15e155397569
hex7e1ee0d56a

541683930474 has 48 divisors (see below), whose sum is σ = 1244753437824. Its totient is φ = 169879485600.

The previous prime is 541683930439. The next prime is 541683930493. The reversal of 541683930474 is 474039386145.

541683930474 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 83 + 93 + 0 + 474 = 666.

It is a super-2 number, since 2×5416839304742 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 541683930474.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10699462 + ... + 10749969.

It is an arithmetic number, because the mean of its divisors is an integer number (25932363288).

Almost surely, 2541683930474 is an apocalyptic number.

541683930474 is an abundant number, since it is smaller than the sum of its proper divisors (703069507350).

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

541683930474 is a wasteful number, since it uses less digits than its factorization.

541683930474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21449523 (or 21449520 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 541683930474 in words is "five hundred forty-one billion, six hundred eighty-three million, nine hundred thirty thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 366 414 549 1098 1403 2806 4209 8418 12627 25254 21449431 42898862 64348293 128696586 193044879 386089758 493336913 986673826 1308415291 1480010739 2616830582 2960021478 3925245873 4440032217 7850491746 8880064434 11775737619 23551475238 30093551693 60187103386 90280655079 180561310158 270841965237 541683930474