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49584641058 = 23237173342961
BaseRepresentation
bin101110001011011110…
…011001010000100010
311201222122020202021100
4232023132121100202
51303022132003213
634440122535230
73403516331511
oct561336312042
9151878222240
1049584641058
111a0352677a7
129739967516
1348a29b15c4
1425854cc678
15145319a773
hexb8b799422

49584641058 has 48 divisors (see below), whose sum is σ = 110403232056. Its totient is φ = 16071851520.

The previous prime is 49584641039. The next prime is 49584641083. The reversal of 49584641058 is 85014648594.

49584641058 is a `hidden beast` number, since 4 + 9 + 584 + 6 + 4 + 1 + 0 + 58 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41419169289 + 8165471769 = 203517^2 + 90363^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 49584640995 and 49584641013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1132698 + ... + 1175658.

Almost surely, 249584641058 is an apocalyptic number.

49584641058 is an abundant number, since it is smaller than the sum of its proper divisors (60818590998).

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

49584641058 is a wasteful number, since it uses less digits than its factorization.

49584641058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44739 (or 44736 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 49584641058 in words is "forty-nine billion, five hundred eighty-four million, six hundred forty-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 1733 3466 5199 10398 15597 31194 42961 64121 85922 128242 128883 192363 257766 384726 386649 577089 773298 1154178 1589557 3179114 4768671 9537342 14306013 28612026 74451413 148902826 223354239 446708478 670062717 1340125434 2754702281 5509404562 8264106843 16528213686 24792320529 49584641058