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50006423431206 = 23211594813889391
BaseRepresentation
bin10110101111011000001110…
…00110101110100000100110
320120001120022121222101020100
423113230013012232200212
523023301123344244311
6254204344521444530
713350562534610604
oct1327540706564046
9216046277871210
1050006423431206
1114a2a6723a9020
1257376b6040746
1321b977c445448
14c4c47675a874
155babada38a56
hex2d7b071ae826

50006423431206 has 96 divisors (see below), whose sum is σ = 120225449111040. Its totient is φ = 14893511486400.

The previous prime is 50006423431183. The next prime is 50006423431207. The reversal of 50006423431206 is 60213432460005.

50006423431206 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 642 + 3 + 4 + 3 + 1 + 2 + 0 + 6 = 666.

50006423431206 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×500064234312062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50006423431207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55780771 + ... + 56670161.

It is an arithmetic number, because the mean of its divisors is an integer number (1252348428240).

Almost surely, 250006423431206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50006423431206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112724555520).

50006423431206 is an abundant number, since it is smaller than the sum of its proper divisors (70219025679834).

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

50006423431206 is a wasteful number, since it uses less digits than its factorization.

50006423431206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894282 (or 894279 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 50006423431206 in words is "fifty trillion, six billion, four hundred twenty-three million, four hundred thirty-one thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 177 198 354 531 649 1062 1298 1947 3894 4813 5841 9626 11682 14439 28878 43317 52943 86634 105886 158829 283967 317658 476487 567934 851901 889391 952974 1703802 1778782 2555703 2668173 3123637 5111406 5336346 6247274 8004519 9370911 9783301 16009038 18741822 19566602 28112733 29349903 52474069 56225466 58699806 88049709 104948138 157422207 176099418 314844414 472266621 577214759 944533242 1154429518 1731644277 3463288554 4280638883 5194932831 8561277766 10389865662 12841916649 25683833298 38525749947 47087027713 77051499894 94174055426 141261083139 252557694097 282522166278 423783249417 505115388194 757673082291 847566498834 1515346164582 2273019246873 2778134635067 4546038493746 5556269270134 8334403905201 16668807810402 25003211715603 50006423431206