Search a number
-
+
996872000000 = 29563532
BaseRepresentation
bin11101000000110100011…
…00111001001000000000
310112022002201112120011012
432200122030321020000
5112313043213000000
62041542350340052
7132010263122342
oct16403214711000
93468081476135
10996872000000
1135485328a228
1214124a4ba628
137300a218c76
143636ac41292
151ade6d3b735
hexe81a339200

996872000000 has 210 divisors, whose sum is σ = 2496787357119. Its totient is φ = 397619200000.

The previous prime is 996871999853. The next prime is 996872000023. The reversal of 996872000000 is 278699.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 928278294784 + 68593705216 = 963472^2 + 261904^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=706000.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2823999824 + ... + 2824000176.

Almost surely, 2996872000000 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 996872000000

996872000000 is an abundant number, since it is smaller than the sum of its proper divisors (1499915357119).

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

996872000000 is an frugal number, since it uses more digits than its factorization.

996872000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

Adding to 996872000000 its reverse (278699), we get a palindrome (996872278699).

The spelling of 996872000000 in words is "nine hundred ninety-six billion, eight hundred seventy-two million", and thus it is an aban number.