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50414043061312 = 2671372772965331
BaseRepresentation
bin10110111011001111011110…
…01000001101110001000000
320121111112110100020001201121
423131213233020031301000
523101440430010430222
6255115520333042024
713422202661365630
oct1335475710156100
9217445410201647
1050414043061312
1115077526020287
1257a26b5026314
132219040569248
14c640a48926c0
155c65b93455c7
hex2dd9ef20dc40

50414043061312 has 112 divisors (see below), whose sum is σ = 115582188797568. Its totient is φ = 21370872360960.

The previous prime is 50414043061297. The next prime is 50414043061331. The reversal of 50414043061312 is 21316034041405.

50414043061312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×504140430613122 (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 15518487 + ... + 18483817.

Almost surely, 250414043061312 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 50414043061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57791094398784).

50414043061312 is an abundant number, since it is smaller than the sum of its proper divisors (65168145736256).

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

50414043061312 is a wasteful number, since it uses less digits than its factorization.

50414043061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965764 (or 2965754 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 50414043061312 in words is "fifty trillion, four hundred fourteen billion, forty-three million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 137 224 274 277 448 548 554 959 1096 1108 1918 1939 2192 2216 3836 3878 4384 4432 7672 7756 8768 8864 15344 15512 17728 30688 31024 37949 61376 62048 75898 124096 151796 265643 303592 531286 607184 1062572 1214368 2125144 2428736 2965331 4250288 5930662 8500576 11861324 17001152 20757317 23722648 41514634 47445296 83029268 94890592 166058536 189781184 332117072 406250347 664234144 812500694 821396687 1328468288 1625001388 1642793374 2843752429 3250002776 3285586748 5687504858 5749776809 6500005552 6571173496 11375009716 11499553618 13000011104 13142346992 22750019432 22999107236 26000022208 26284693984 45500038864 45998214472 52569387968 91000077728 91996428944 112531346119 182000155456 183992857888 225062692238 367985715776 450125384476 787719422833 900250768952 1575438845666 1800501537904 3150877691332 3601003075808 6301755382664 7202006151616 12603510765328 25207021530656 50414043061312