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46398883216 = 24761572
BaseRepresentation
bin101011001101100101…
…101100010110010000
311102202121200111002011
4223031211230112100
51230011103230331
633152041032304
73231544000000
oct531545542620
9142677614064
1046398883216
111874aa61784
128baaa85694
1344b598b4aa
142362370000
1513186623b1
hexacd96c590

46398883216 has 105 divisors (see below), whose sum is σ = 105552966369. Its totient is φ = 19758578112.

The previous prime is 46398883213. The next prime is 46398883229. The reversal of 46398883216 is 61238889364.

The square root of 46398883216 is 215404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13600224400 + 32798658816 = 116620^2 + 181104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46398883211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 295534210 + ... + 295534366.

Almost surely, 246398883216 is an apocalyptic number.

46398883216 is the 215404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46398883216

46398883216 is an abundant number, since it is smaller than the sum of its proper divisors (59154083153).

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

46398883216 is an frugal number, since it uses more digits than its factorization.

46398883216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 166 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The spelling of 46398883216 in words is "forty-six billion, three hundred ninety-eight million, eight hundred eighty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 157 196 314 343 392 628 686 784 1099 1256 1372 2198 2401 2512 2744 4396 4802 5488 7693 8792 9604 15386 16807 17584 19208 24649 30772 33614 38416 49298 53851 61544 67228 98596 107702 117649 123088 134456 172543 197192 215404 235298 268912 345086 376957 394384 430808 470596 690172 753914 861616 941192 1207801 1380344 1507828 1882384 2415602 2638699 2760688 3015656 4831204 5277398 6031312 8454607 9662408 10554796 16909214 18470893 19324816 21109592 33818428 36941786 42219184 59182249 67636856 73883572 118364498 135273712 147767144 236728996 295534288 414275743 473457992 828551486 946915984 1657102972 2899930201 3314205944 5799860402 6628411888 11599720804 23199441608 46398883216