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50634332416 = 281959732417
BaseRepresentation
bin101111001010000010…
…101001100100000000
311211200210102121010001
4233022002221210000
51312144342114131
635132221245344
73441523503253
oct571202514400
9154623377101
1050634332416
111a523840418
129991403854
134a0c2c9555
142644a9309a
1514b53e5261
hexbca0a9900

50634332416 has 144 divisors (see below), whose sum is σ = 109721102400. Its totient is φ = 23245553664.

The previous prime is 50634332393. The next prime is 50634332417. The reversal of 50634332416 is 61423343605.

It is not an unprimeable number, because it can be changed into a prime (50634332417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20948040 + ... + 20950456.

It is an arithmetic number, because the mean of its divisors is an integer number (761952100).

Almost surely, 250634332416 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 50634332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54860551200).

50634332416 is an abundant number, since it is smaller than the sum of its proper divisors (59086769984).

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

50634332416 is a wasteful number, since it uses less digits than its factorization.

50634332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 37.

The spelling of 50634332416 in words is "fifty billion, six hundred thirty-four million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 59 64 73 76 118 128 146 152 236 256 292 304 472 584 608 944 1121 1168 1216 1387 1888 2242 2336 2417 2432 2774 3776 4307 4484 4672 4834 4864 5548 7552 8614 8968 9344 9668 11096 15104 17228 17936 18688 19336 22192 34456 35872 38672 44384 45923 68912 71744 77344 81833 88768 91846 137824 142603 143488 154688 163666 176441 177536 183692 275648 285206 286976 309376 327332 352882 355072 367384 551296 570412 618752 654664 705764 734768 1102592 1140824 1309328 1411528 1469536 2281648 2618656 2709457 2823056 2939072 3352379 4563296 5237312 5418914 5646112 5878144 6704758 9126592 10410019 10474624 10837828 11292224 11756288 13409516 18253184 20820038 20949248 21675656 22584448 26819032 36506368 41640076 43351312 45168896 53638064 83280152 86702624 107276128 166560304 173405248 197790361 214552256 333120608 346810496 395580722 429104512 666241216 693620992 791161444 858209024 1332482432 1582322888 2664964864 3164645776 6329291552 12658583104 25317166208 50634332416