Search a number
-
+
996777082224 = 243471119525713
BaseRepresentation
bin11101000000101001000…
…10110011110101110000
310112021212002221020110000
432200110202303311300
5112312344413112344
62041525120110000
7132005031255210
oct16402442636560
93467762836400
10996777082224
1135480474a090
12141222765300
1372cc36647c1
143635c3b4240
151addd83ca69
hexe8148b3d70

996777082224 has 400 divisors, whose sum is σ = 3786150170880. Its totient is φ = 245276190720.

The previous prime is 996777082219. The next prime is 996777082277. The reversal of 996777082224 is 422280777699.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1633192 + ... + 2158904.

Almost surely, 2996777082224 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 996777082224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893075085440).

996777082224 is an abundant number, since it is smaller than the sum of its proper divisors (2789373088656).

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

996777082224 is a wasteful number, since it uses less digits than its factorization.

996777082224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525770 (or 525755 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 996777082224 in words is "nine hundred ninety-six billion, seven hundred seventy-seven million, eighty-two thousand, two hundred twenty-four".