Search a number
-
+
9630835716096 = 21232776948533
BaseRepresentation
bin1000110000100101101010…
…0010101011000000000000
31021002200212111111120011200
42030021122202223000000
52230242422420403341
632252202253141200
72012543041612230
oct214113242530000
937080774446150
109630835716096
113083461760611
1210b662b48a800
1354b25108bb4a
142541c6399cc0
1511a7c0702db6
hex8c25a8ab000

9630835716096 has 312 divisors, whose sum is σ = 31835162879520. Its totient is φ = 2748032483328.

The previous prime is 9630835716091. The next prime is 9630835716101. The reversal of 9630835716096 is 6906175380369.

9630835716096 is a `hidden beast` number, since 9 + 6 + 30 + 8 + 357 + 160 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (9630835716091) and next prime (9630835716101).

It is a super-2 number, since 2×96308357160962 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9630835716091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198414646 + ... + 198463178.

It is an arithmetic number, because the mean of its divisors is an integer number (102035778460).

Almost surely, 29630835716096 is an apocalyptic number.

9630835716096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9630835716096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15917581439760).

9630835716096 is an abundant number, since it is smaller than the sum of its proper divisors (22204327163424).

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

9630835716096 is a wasteful number, since it uses less digits than its factorization.

9630835716096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49339 (or 49314 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 9630835716096 in words is "nine trillion, six hundred thirty billion, eight hundred thirty-five million, seven hundred sixteen thousand, ninety-six".