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49434833745 = 32511219477839
BaseRepresentation
bin101110000010100010…
…111011001101010001
311201121012100202021100
4232002202323031101
51302220304134440
634413212015013
73400020103503
oct560242731521
9151535322240
1049434833745
1119a68747300
1296b7761469
13487a94c31b
14256d653d73
151444e58230
hexb828bb351

49434833745 has 72 divisors (see below), whose sum is σ = 99142243200. Its totient is φ = 22706861760.

The previous prime is 49434833743. The next prime is 49434833797. The reversal of 49434833745 is 54733843494.

It is a happy number.

49434833745 is a `hidden beast` number, since 4 + 94 + 3 + 483 + 3 + 74 + 5 = 666.

It is not a de Polignac number, because 49434833745 - 21 = 49434833743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 49434833691 and 49434833700.

It is not an unprimeable number, because it can be changed into a prime (49434833743) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 135465 + ... + 342374.

It is an arithmetic number, because the mean of its divisors is an integer number (1376975600).

Almost surely, 249434833745 is an apocalyptic number.

49434833745 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

49434833745 is an abundant number, since it is smaller than the sum of its proper divisors (49707409455).

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

49434833745 is a wasteful number, since it uses less digits than its factorization.

49434833745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477891 (or 477877 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 49434833745 in words is "forty-nine billion, four hundred thirty-four million, eight hundred thirty-three thousand, seven hundred forty-five".

Divisors: 1 3 5 9 11 15 19 33 45 55 57 95 99 121 165 171 209 285 363 495 605 627 855 1045 1089 1815 1881 2299 3135 5445 6897 9405 11495 20691 34485 103455 477839 1433517 2389195 4300551 5256229 7167585 9078941 15768687 21502755 26281145 27236823 45394705 47306061 57818519 78843435 81710469 99868351 136184115 173455557 236530305 289092595 299605053 408552345 499341755 520366671 867277785 898815159 1098551861 1498025265 2601833355 3295655583 4494075795 5492759305 9886966749 16478277915 49434833745