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161933449896 = 233259107356261
BaseRepresentation
bin1001011011001111111…
…1000101101010101000
3120110222102100120122100
42112303333011222220
510123114430344041
6202220255453400
714461601420241
oct2266377055250
9513872316570
10161933449896
1162748235739
1227473227260
13123689b280a
147ba2607cc8
15432b5a66b6
hex25b3fc5aa8

161933449896 has 96 divisors (see below), whose sum is σ = 450172663200. Its totient is φ = 52566875520.

The previous prime is 161933449889. The next prime is 161933449949. The reversal of 161933449896 is 698944339161.

161933449896 is a `hidden beast` number, since 1 + 619 + 3 + 3 + 4 + 4 + 9 + 8 + 9 + 6 = 666.

161933449896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276406 + ... + 632666.

It is an arithmetic number, because the mean of its divisors is an integer number (4689298575).

Almost surely, 2161933449896 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 161933449896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225086331600).

161933449896 is an abundant number, since it is smaller than the sum of its proper divisors (288239213304).

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

161933449896 is a wasteful number, since it uses less digits than its factorization.

161933449896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356439 (or 356432 counting only the distinct ones).

The product of its digits is 30233088, while the sum is 63.

The spelling of 161933449896 in words is "one hundred sixty-one billion, nine hundred thirty-three million, four hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 107 118 177 214 236 321 354 428 472 531 642 708 856 963 1062 1284 1416 1926 2124 2568 3852 4248 6313 7704 12626 18939 25252 37878 50504 56817 75756 113634 151512 227268 356261 454536 712522 1068783 1425044 2137566 2850088 3206349 4275132 6412698 8550264 12825396 21019399 25650792 38119927 42038798 63058197 76239854 84077596 114359781 126116394 152479708 168155192 189174591 228719562 252232788 304959416 343079343 378349182 457439124 504465576 686158686 756698364 914878248 1372317372 1513396728 2249075693 2744634744 4498151386 6747227079 8996302772 13494454158 17992605544 20241681237 26988908316 40483362474 53977816632 80966724948 161933449896