Search a number
-
+
821490462976 = 2829659167911
BaseRepresentation
bin10111111010001001010…
…01011011000100000000
32220112102002020101001211
423331010221123010000
5101424403024303401
61425215411335504
7113231204503021
oct13750451330400
92815362211054
10821490462976
11297434a4a6a7
121132635b1594
135c60a387661
142ba9058ac48
151657ed21951
hexbf44a5b100

821490462976 has 72 divisors (see below), whose sum is σ = 1698900033600. Its totient is φ = 395977451520.

The previous prime is 821490462913. The next prime is 821490462979. The reversal of 821490462976 is 679264094128.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 821490462976.

It is not an unprimeable number, because it can be changed into a prime (821490462979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4808461 + ... + 4976371.

It is an arithmetic number, because the mean of its divisors is an integer number (23595833800).

Almost surely, 2821490462976 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 821490462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849450016800).

821490462976 is an abundant number, since it is smaller than the sum of its proper divisors (877409570624).

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

821490462976 is a wasteful number, since it uses less digits than its factorization.

821490462976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168615 (or 168601 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 821490462976 in words is "eight hundred twenty-one billion, four hundred ninety million, four hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 659 928 1318 1856 2636 3712 5272 7424 10544 19111 21088 38222 42176 76444 84352 152888 167911 168704 305776 335822 611552 671644 1223104 1343288 2446208 2686576 4869419 4892416 5373152 9738838 10746304 19477676 21492608 38955352 42985216 77910704 110653349 155821408 221306698 311642816 442613396 623285632 885226792 1246571264 1770453584 3208947121 3540907168 6417894242 7081814336 12835788484 14163628672 25671576968 28327257344 51343153936 102686307872 205372615744 410745231488 821490462976