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242989578216 = 23357211231901
BaseRepresentation
bin1110001001001101001…
…1101011011111101000
3212020012100202112100000
43202103103223133220
512440120313000331
6303343341543000
723361336223200
oct3422323533750
9766170675300
10242989578216
1194062311640
123b114874a60
1319bb5877418
14ba91741400
1564c26420e6
hex38934eb7e8

242989578216 has 288 divisors, whose sum is σ = 866070485280. Its totient is φ = 63113904000.

The previous prime is 242989578199. The next prime is 242989578229. The reversal of 242989578216 is 612875989242.

242989578216 is a `hidden beast` number, since 2 + 42 + 9 + 8 + 9 + 578 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 931866 + ... + 1163766.

It is an arithmetic number, because the mean of its divisors is an integer number (3007189185).

Almost surely, 2242989578216 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 242989578216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433035242640).

242989578216 is an abundant number, since it is smaller than the sum of its proper divisors (623080907064).

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

242989578216 is a wasteful number, since it uses less digits than its factorization.

242989578216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231947 (or 231924 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 242989578216 in words is "two hundred forty-two billion, nine hundred eighty-nine million, five hundred seventy-eight thousand, two hundred sixteen".