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50016792816 = 2433415353281
BaseRepresentation
bin101110100101001110…
…111011000011110000
311210002202102100001000
4232211032323003300
51304413244332231
634551041242000
73420314503254
oct564516730360
9153082370030
1050016792816
111a2371a2811
12983a633300
13494139c3c3
1425c6a62264
15147b0b06e6
hexba53bb0f0

50016792816 has 160 divisors (see below), whose sum is σ = 149846034240. Its totient is φ = 15958425600.

The previous prime is 50016792779. The next prime is 50016792821. The reversal of 50016792816 is 61829761005.

50016792816 is a `hidden beast` number, since 500 + 1 + 67 + 9 + 2 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 912096 + ... + 965376.

It is an arithmetic number, because the mean of its divisors is an integer number (936537714).

Almost surely, 250016792816 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 50016792816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74923017120).

50016792816 is an abundant number, since it is smaller than the sum of its proper divisors (99829241424).

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

50016792816 is a wasteful number, since it uses less digits than its factorization.

50016792816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53392 (or 53380 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 50016792816 in words is "fifty billion, sixteen million, seven hundred ninety-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 53 54 72 82 106 108 123 144 159 164 212 216 246 318 328 369 424 432 477 492 636 656 738 848 954 984 1107 1272 1431 1476 1908 1968 2173 2214 2544 2862 2952 3816 4346 4428 5724 5904 6519 7632 8692 8856 11448 13038 17384 17712 19557 22896 26076 34768 39114 52152 53281 58671 78228 104304 106562 117342 156456 159843 213124 234684 312912 319686 426248 469368 479529 639372 852496 938736 959058 1278744 1438587 1918116 2184521 2557488 2823893 2877174 3836232 4369042 5647786 5754348 6553563 7672464 8471679 8738084 11295572 11508696 13107126 16943358 17476168 19660689 22591144 23017392 25415037 26214252 33886716 34952336 39321378 45182288 50830074 52428504 58982067 67773432 76245111 78642756 101660148 104857008 115779613 117964134 135546864 152490222 157285512 203320296 231559226 235928268 304980444 314571024 347338839 406640592 463118452 471856536 609960888 694677678 926236904 943713072 1042016517 1219921776 1389355356 1852473808 2084033034 2778710712 3126049551 4168066068 5557421424 6252099102 8336132136 12504198204 16672264272 25008396408 50016792816