Search a number
-
+
9798450742080 = 263757111371197
BaseRepresentation
bin1000111010010110000100…
…1011010000001101000000
31021200201111212202010000000
42032211201023100031000
52241014211342221310
632501202433000000
72030625513045330
oct216454113201500
937621455663000
109798450742080
113138554aa9480
1211230093b3000
13560cb3b8b6b0
1425c3673a50c0
1511ed309944c0
hex8e9612d0340

9798450742080 has 3584 divisors, whose sum is σ = 47887897559040. Its totient is φ = 1843546521600.

The previous prime is 9798450742001. The next prime is 9798450742097. The reversal of 9798450742080 is 802470548979.

9798450742080 is a `hidden beast` number, since 9 + 7 + 9 + 8 + 4 + 507 + 42 + 0 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9798450741999 and 9798450742017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49738328542 + ... + 49738328738.

It is an arithmetic number, because the mean of its divisors is an integer number (13361578560).

Almost surely, 29798450742080 is an apocalyptic number.

9798450742080 is a gapful number since it is divisible by the number (90) 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 9798450742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943948779520).

9798450742080 is an abundant number, since it is smaller than the sum of its proper divisors (38089446816960).

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

9798450742080 is a wasteful number, since it uses less digits than its factorization.

9798450742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 9798450742080 in words is "nine trillion, seven hundred ninety-eight billion, four hundred fifty million, seven hundred forty-two thousand, eighty".