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996089829849 = 3253262772
BaseRepresentation
bin11100111111010111001…
…01001001100111011001
310112020002012202012102100
432133223211021213121
5112304442444023344
62041333005554013
7131652014566032
oct16375345114731
93466065665370
10996089829849
11354491817214
12141070575909
1372c141697aa
14362d4dd7a89
151ad9d337569
hexe7eb9499d9

996089829849 has 27 divisors (see below), whose sum is σ = 1466689393533. Its totient is φ = 651426658272.

The previous prime is 996089829773. The next prime is 996089829881. The reversal of 996089829849 is 948928980699.

It is a happy number.

The square root of 996089829849 is 998043.

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

It can be written as a sum of positive squares in 4 ways, for example, as 574629189849 + 421460640000 = 758043^2 + 649200^2 .

It is not a de Polignac number, because 996089829849 - 233 = 987499895257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996289829849) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158685699 + ... + 158691975.

Almost surely, 2996089829849 is an apocalyptic number.

996089829849 is the 998043-rd square number.

996089829849 is the 499022-nd centered octagonal number.

It is an amenable number.

996089829849 is a deficient number, since it is larger than the sum of its proper divisors (470599563684).

996089829849 is an frugal number, since it uses more digits than its factorization.

996089829849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12666 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 1451188224, while the sum is 81.

Multiplying 996089829849 by its sum of digits (81), we get a square (80683276217769 = 89823872).

The spelling of 996089829849 in words is "nine hundred ninety-six billion, eighty-nine million, eight hundred twenty-nine thousand, eight hundred forty-nine".

Divisors: 1 3 9 53 159 477 2809 6277 8427 18831 25281 56493 332681 998043 2994129 17632093 39400729 52896279 118202187 158688837 354606561 2088238637 6264715911 18794147733 110676647761 332029943283 996089829849