Search a number
-
+
8493465600000 = 2253455
BaseRepresentation
bin111101110011000101000…
…0000000000000000000000
31010001222010012222012110000
41323212022000000000000
52103124104143200000
630021502204240000
71534426665261003
oct173461200000000
933058105865400
108493465600000
1127850709a8257
12b52110540000
13497c13038454
1421512bb0553a
15eae040a0000
hex7b98a000000

8493465600000 has 780 divisors, whose sum is σ = 31717393484238. Its totient is φ = 2264924160000.

The previous prime is 8493465599999. The next prime is 8493465600013. The reversal of 8493465600000 is 65643948.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8493465600000 is a `hidden beast` number, since 8 + 4 + 9 + 34 + 6 + 5 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12230590464 + 8481235009536 = 110592^2 + 2912256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1698693119998 + ... + 1698693120002.

Almost surely, 28493465600000 is an apocalyptic number.

8493465600000 is a gapful number since it is divisible by the number (80) 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 8493465600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858696742119).

8493465600000 is an abundant number, since it is smaller than the sum of its proper divisors (23223927884238).

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

8493465600000 is an frugal number, since it uses more digits than its factorization.

8493465600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 8493465600000 in words is "eight trillion, four hundred ninety-three billion, four hundred sixty-five million, six hundred thousand".