Search a number
-
+
242936796096 = 263215716316481
BaseRepresentation
bin1110001001000000101…
…0010101001111000000
3212020001200102220212200
43202100022111033000
512440013304433341
6303334214353200
723360125460361
oct3422012251700
9766050386780
10242936796096
1194035540655
123b0bb05b800
1319ba79568b7
14ba88721b68
1564bcbb7db6
hex38902953c0

242936796096 has 168 divisors, whose sum is σ = 705111695184. Its totient is φ = 79964651520.

The previous prime is 242936796041. The next prime is 242936796121. The reversal of 242936796096 is 690697639242.

242936796096 is a `hidden beast` number, since 2 + 429 + 3 + 67 + 9 + 60 + 96 = 666.

It is a congruent number.

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, 14732176 + ... + 14748656.

Almost surely, 2242936796096 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 242936796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352555847592).

242936796096 is an abundant number, since it is smaller than the sum of its proper divisors (462174899088).

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

242936796096 is a wasteful number, since it uses less digits than its factorization.

242936796096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16819 (or 16806 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 242936796096 in words is "two hundred forty-two billion, nine hundred thirty-six million, seven hundred ninety-six thousand, ninety-six".