Search a number
-
+
96526504446912 = 2633191467641977
BaseRepresentation
bin10101111100101001010100…
…000000100100101111000000
3110122202211210001121221121000
4111330221110000210233000
5100122442240114300122
6541143355230132000
726221544523115461
oct2574512400445700
9418684701557530
1096526504446912
112883572a357291
12a9ab597051000
1341b25445bcb77
1419b9c9cbbcd68
15b25d212420ac
hex57ca54024bc0

96526504446912 has 448 divisors, whose sum is σ = 286605603348480. Its totient is φ = 31856040345600.

The previous prime is 96526504446811. The next prime is 96526504446959. The reversal of 96526504446912 is 21964440562569.

96526504446912 is a `hidden beast` number, since 9 + 6 + 5 + 26 + 504 + 44 + 69 + 1 + 2 = 666.

It is a super-2 number, since 2×965265044469122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96526504446912.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 98798878168 + ... + 98798879144.

Almost surely, 296526504446912 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 96526504446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143302801674240).

96526504446912 is an abundant number, since it is smaller than the sum of its proper divisors (190079098901568).

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

96526504446912 is a wasteful number, since it uses less digits than its factorization.

96526504446912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 96526504446912 in words is "ninety-six trillion, five hundred twenty-six billion, five hundred four million, four hundred forty-six thousand, nine hundred twelve".