Search a number
-
+
96480995480676 = 22342923126072
BaseRepresentation
bin10101111011111110111011…
…011101101001010001100100
3110122121111022110110221010000
4111323332323131221101210
5100121221034320340201
6541110431335101300
726215344003230562
oct2573767335512144
9418544273427100
1096480995480676
11288183a6770394
12a9a27b6211830
1341ab171107791
1419b79c2b02a32
15b24a5acb8d86
hex57bfbb769464

96480995480676 has 405 divisors, whose sum is σ = 270361134980937. Its totient is φ = 30000192989760.

The previous prime is 96480995480599. The next prime is 96480995480699. The reversal of 96480995480676 is 67608459908469.

The square root of 96480995480676 is 9822474.

It is a perfect power (a square), and thus also a powerful number.

96480995480676 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 0 + 9 + 9 + 548 + 0 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50592293706276 + 45888701774400 = 7112826^2 + 6774120^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 96480995480595 and 96480995480604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 158947273965 + ... + 158947274571.

Almost surely, 296480995480676 is an apocalyptic number.

96480995480676 is the 9822474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96480995480676

96480995480676 is an abundant number, since it is smaller than the sum of its proper divisors (173880139500261).

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

96480995480676 is an equidigital number, since it uses as much as digits as its factorization.

96480995480676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

96480995480676 divided by its sum of digits (81) gives a square (1191123400996 = 10913862).

The spelling of 96480995480676 in words is "ninety-six trillion, four hundred eighty billion, nine hundred ninety-five million, four hundred eighty thousand, six hundred seventy-six".