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50435842164228 = 22325398334137879
BaseRepresentation
bin10110111011111000000100…
…11101001100011000000100
320121120121201120002020012200
423131330002131030120010
523102320101043223403
6255133523411314500
713423604120612553
oct1335740235143004
9217517646066180
1050435842164228
11150857a2050a14
1257a69795aba30
13221b1058ab801
14c65171a99d9a
155c6e42eddca3
hex2ddf0274c604

50435842164228 has 144 divisors (see below), whose sum is σ = 130082832472320. Its totient is φ = 16471042069248.

The previous prime is 50435842164223. The next prime is 50435842164241. The reversal of 50435842164228 is 82246124853405.

50435842164228 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 584 + 2 + 16 + 42 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (50435842164223) 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, 6401295993 + ... + 6401303871.

It is an arithmetic number, because the mean of its divisors is an integer number (903353003280).

Almost surely, 250435842164228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50435842164228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65041416236160).

50435842164228 is an abundant number, since it is smaller than the sum of its proper divisors (79646990308092).

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

50435842164228 is a wasteful number, since it uses less digits than its factorization.

50435842164228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12338 (or 12333 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 50435842164228 in words is "fifty trillion, four hundred thirty-five billion, eight hundred forty-two million, one hundred sixty-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 983 1908 1966 2949 3413 3932 5898 6826 7879 8847 10239 11796 13652 15758 17694 20478 23637 30717 31516 35388 40956 47274 52099 61434 70911 94548 104198 122868 141822 156297 180889 208396 283644 312594 361778 417587 468891 542667 625188 723556 835174 937782 1085334 1252761 1628001 1670348 1875564 2170668 2505522 3256002 3354979 3758283 5011044 6512004 6709958 7516566 7745057 10064937 13419916 15033132 15490114 20129874 23235171 26891027 30194811 30980228 40259748 46470342 53782054 60389622 69705513 80673081 92940684 107564108 120779244 139411026 161346162 177813887 242019243 278822052 322692324 355627774 410488021 484038486 533441661 711255548 820976042 968076972 1066883322 1231464063 1425224431 1600324983 1641952084 2133766644 2462928126 2850448862 3200649966 3694392189 4275673293 4925856252 5700897724 6401299932 7388784378 8551346586 12827019879 14777568756 17102693172 25654039758 26433879541 51308079516 52867759082 79301638623 105735518164 158603277246 237904915869 317206554492 475809831738 951619663476 1400995615673 2801991231346 4202986847019 5603982462692 8405973694038 12608960541057 16811947388076 25217921082114 50435842164228