Search a number
-
+
9774468092416 = 2931353107113
BaseRepresentation
bin1000111000111100101110…
…1100101101001000000000
31021121102121111011021111011
42032033023230231020000
52240121102312424131
632442154553330304
72026116300640036
oct216171354551000
937542544137434
109774468092416
113129368466855
12111a435706994
1355b961358731
1425b1301a4556
1511e3ca27e0b1
hex8e3cbb2d200

9774468092416 has 320 divisors, whose sum is σ = 20937414491136. Its totient is φ = 4556295045120.

The previous prime is 9774468092407. The next prime is 9774468092429. The reversal of 9774468092416 is 6142908644779.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86499717576 + ... + 86499717688.

Almost surely, 29774468092416 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 9774468092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468707245568).

9774468092416 is an abundant number, since it is smaller than the sum of its proper divisors (11162946398720).

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

9774468092416 is an equidigital number, since it uses as much as digits as its factorization.

9774468092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 67.

The spelling of 9774468092416 in words is "nine trillion, seven hundred seventy-four billion, four hundred sixty-eight million, ninety-two thousand, four hundred sixteen".