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996301426201 = 3725325092
BaseRepresentation
bin11100111111110000011…
…00010100111000011001
310112020121221220102001021
432133320030110320121
5112310411131114301
62041410005122441
7131660164252024
oct16377014247031
93466557812037
10996301426201
113545901aa734
1214110b3b9421
1372c48c54133
14363151581bb
151adb1bd28a1
hexe7f8314e19

996301426201 has 27 divisors (see below), whose sum is σ = 1045695109431. Its totient is φ = 949215743424.

The previous prime is 996301426151. The next prime is 996301426217. The reversal of 996301426201 is 102624103699.

The square root of 996301426201 is 998149.

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

It can be written as a sum of positive squares in 13 ways, for example, as 54896958601 + 941404467600 = 234301^2 + 970260^2 .

It is a de Polignac number, because none of the positive numbers 2k-996301426201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (996301420201) 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, 1957369935 + ... + 1957370443.

Almost surely, 2996301426201 is an apocalyptic number.

996301426201 is the 998149-th square number.

996301426201 is the 499075-th centered octagonal number.

It is an amenable number.

996301426201 is a deficient number, since it is larger than the sum of its proper divisors (49393683230).

996301426201 is an frugal number, since it uses more digits than its factorization.

996301426201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 996301426201 in words is "nine hundred ninety-six billion, three hundred one million, four hundred twenty-six thousand, two hundred one".

Divisors: 1 37 53 509 1369 1961 2809 18833 26977 72557 103933 259081 696821 998149 1429781 3845521 9585997 13731293 36931513 52901897 354681889 508057841 727758529 1957370189 18798140117 26927065573 996301426201