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541245420405 = 325107225149937
BaseRepresentation
bin1111110000001001011…
…11011011001101110101
31220202001022202011100200
413320010233123031311
532331432311423110
61052351131431113
754050365110414
oct7700457331565
91822038664320
10541245420405
111995a4a252a8
1288a91bb5499
133c068238591
141c2a6d8547b
15e12bb286c0
hex7e04bdb375

541245420405 has 48 divisors (see below), whose sum is σ = 947366207424. Its totient is φ = 285833664000.

The previous prime is 541245420389. The next prime is 541245420427. The reversal of 541245420405 is 504024542145.

541245420405 is a `hidden beast` number, since 5 + 4 + 1 + 245 + 4 + 2 + 0 + 405 = 666.

It is not a de Polignac number, because 541245420405 - 24 = 541245420389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 541245420405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10813597 + ... + 10863533.

It is an arithmetic number, because the mean of its divisors is an integer number (19736795988).

Almost surely, 2541245420405 is an apocalyptic number.

It is an amenable number.

541245420405 is a deficient number, since it is larger than the sum of its proper divisors (406120787019).

541245420405 is a wasteful number, since it uses less digits than its factorization.

541245420405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52306 (or 52303 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 541245420405 in words is "five hundred forty-one billion, two hundred forty-five million, four hundred twenty thousand, four hundred five".

Divisors: 1 3 5 9 15 45 107 321 535 963 1605 2251 4815 6753 11255 20259 33765 49937 101295 149811 240857 249685 449433 722571 749055 1204285 2167713 2247165 3612855 5343259 10838565 16029777 26716295 48089331 80148885 112408187 240446655 337224561 562040935 1011673683 1686122805 5058368415 12027676009 36083028027 60138380045 108249084081 180415140135 541245420405