Search a number
-
+
996383276100 = 22365236972
BaseRepresentation
bin11100111111111010001…
…00100011110001000100
310112020211122220211000000
432133331010203301010
5112311043104313400
62041422051321300
7131662210051332
oct16377504436104
93466748824000
10996383276100
11354622424783
121411328b0230
1372c5cbb1524
1436321d82b52
151adb8e9e600
hexe7fd123c44

996383276100 has 189 divisors, whose sum is σ = 3242621701767. Its totient is φ = 265630337280.

The previous prime is 996383276071. The next prime is 996383276123. The reversal of 996383276100 is 1672383699.

The square root of 996383276100 is 998190.

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

996383276100 is a `hidden beast` number, since 9 + 96 + 383 + 2 + 76 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 339933309444 + 656449966656 = 583038^2 + 810216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 269509452 + ... + 269513148.

Almost surely, 2996383276100 is an apocalyptic number.

996383276100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

996383276100 is the 998190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996383276100

996383276100 is an abundant number, since it is smaller than the sum of its proper divisors (2246238425667).

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

996383276100 is an frugal number, since it uses more digits than its factorization.

With its predecessor (996383276099) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3707).

996383276100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 996383276100 in words is "nine hundred ninety-six billion, three hundred eighty-three million, two hundred seventy-six thousand, one hundred".